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Corporate Office: 10th Floor, Melange Tower; No.80-84, Pathrika Nagar; Hitech-City, Madhapur, Hyderabad. Telangana - 500 081.
: 040-45009999(360/341) : [email protected] : http://www.narayanagroup.com
Class: SZ1-A JEE-ADV (2015-P1) MODEL Date: 14-06-2020
Time: 3hrs WAT-01 Max. Marks: 264
IMPORTANT INSTRUCTIONS
PHYSICS Section Question Type
+Ve Marks
- Ve Marks
No.of Qs
Total marks
Sec – I (Q.N : 1 – 8) Questions with single digit integer
from 0 to 9 4 0 8 32
Sec – II(Q.N : 9 – 18) Questions with 1 or more Correct
Choice 4 -2 10 40
Sec – III(Q.N : 19 – 20) Questions with Matrix Matching
Type 2 x 4 -1 x 4 2 16
Total 20 88
CHEMISTRY Section Question Type
+Ve Marks
- Ve Marks
No.of Qs
Total marks
Sec – I(Q.N : 21 – 28) Questions with single digit integer
from 0 to 9 4 0 8 32
Sec – II(Q.N : 29 – 38) Questions with 1 or more Correct
Choice 4 -2 10 40
Sec – III(Q.N : 39 – 40) Questions with Matrix Matching
Type 2 x 4 -1 x 4 2 16
Total 20 88
MATHEMATICS Section Question Type
+Ve Marks
- Ve Marks
No.of Qs
Total marks
Sec – I(Q.N : 41 – 48) Questions with single digit integer
from 0 to 9 4 0 8 32
Sec – II(Q.N : 49 – 58) Questions with 1 or more Correct
Choice 4 -2 10 40
Sec – III(Q.N : 59 – 60) Questions with Matrix Matching
Type 2 x 4 -1 x 4 2 16
Total 20 88
SZ1-A_JEE-ADV(2015-P1)_WAT-01_QP_Exam.Dt.14-06-2020
Narayana CO Schools
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–:SZ1-A Jee-Adv Exam Syllabus (14-06-20):–
TOPICS
PHYSICS
PRESENT WEEK 50%:
Sound Waves, Propagation Of Sound Waves, Speed Of Sound
Waves In Solids, Liquids And Gases , Newton's Formula, Laplace
Correction, Factors Effcting Speed Of Sound ( Pressure, Density,
Temparature Etc.,) Pressure Waves, Intensity, Energy, Power Of Sound
Waves, Loudness ( Sound Level In Decibels), Pitch, Timber
( Quality), Standing Waves In Air Columns applications
PREVIOUS WEEK 50%:
Interference in Transverse Waves, Reflection of Waves of Fixed end
and Free End Reflection and Refraction of Wave, Standing Waves,
Characteristics of Stationary Waves , Standing Waves in a String
Fixed at Both Ends String Fixed at one end and Free from other end,
Resonance, Sonometer and Meldes Apparatus , Applications.
TOPICS
CHEMISTRY
PRESENT WEEK 50%:
Electro chemical cells, Half cell reactions at electro chemical cells,
Daniel cell & Galvonic cells. Differences between Electro chemical cells
& electrolytic cells, Representation of galvanic cells, EMF of the cells,
Normal hydrogen electrode (SHE), Nernst equation.
PREVIOUS WEEK 50%:
Equivalent conductance, Factors effecting conductance, Effect of
dilution, Debye - Huckel - Onsager equation, Kohlrausch's law,
Calculations on Conductance based on Kohlrausch's law.
TOPICS
MATHS
PRESENT WEEK 50%:
General equation of ellipse, standard equation of ellipse, Different
forms of ellipse, focus, directrix , axis etc. of a ellipse, Notations,
position of a point w.r.to ellipse, Parametric cordinates of a point,
eccentic angle, Related problems.
PREVIOUS WEEK 50%:
Equation of normal ( both forms) properties of normal for parabola,
Number of normals passing through given point, Co-normal points,
circle through co-normal points, Reflection property, Miscelleneous
problems.
SZ1-A_JEE-ADV(2015-P1)_WAT-01_QP_Exam.Dt.14-06-2020
Narayana CO Schools
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SECTION – I (01 TO 08) (INTEGER ANSWER TYPE)
This section contains 8 questions. The answer is a single digit integer ranging from 0 to 9 (both inclusive).
Marking scheme +4 for correct answer, 0 if not attempted and 0 in all other cases.
01. A string tied between 0x = and x l= vibrates in fundamental mode.
The amplitude at antinode is A, tension T and mass per unit length
is given. The total energy of the string is
2 2
.24
x TA
l
Then the
value of x is
02. Two narrow cylindrical pipes A and B have the same length. Pipe A
is open at both ends and is filled with a monoatomic gas of molar
mass .AM Pipe B is open at one end and closed at the other end,
and is filled with a diatomic gas of molar mass .BM Both gases are
at the same temperature. If the frequency of the second harmonic
of the fundamental mode in pipe A is equal to the frequency of the
third harmonic of the fundamental mode in pipe B, the value of
/A BM M is 100
.189
x Then the value of x is ____________
03. A long wire PQR is made by joining two wires PQ and QR of equal
radii PQ has length 4.8 m and mass 0.06 kg. QR has length 2.56
m and mass 0.2 kg. The wire PQR is under a tension of 80 N. A
sinusoidal wave – pulse of amplitude 3.5 cm is sent along the wire
PQ from the end P. No power is dissipated during the propagation
of the wave – pulse. The time taken by the wave – pulse to reach
the other end R of the wire is 2
7sec.
10
x Then the value of x is ___
SZ1-A_JEE-ADV(2015-P1)_WAT-01_QP_Exam.Dt.14-06-2020
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04. The sound level at a point is increased by 30 dB. By the factor of
the pressure amplitude increased by 1000
x. Then the value of x
is ______
05. The frequency of a sonometer wire is f . When the weights
producing the tensions are completely immersed in water, then the
frequency becomes 2
f and when the weights are immersed
completely in a certain liquid frequency becomes 3
f. The specific
gravity of the liquid is ( )23
27
x+, then the value of x is _____
06. A heavy string is tied at one end to a movable support and to a light
thread at the other end as shown in figure. The thread goes over a
fixed pulley and supports a weight to produce a tension. The lowest
frequency with which the heavy string resonates is 120 Hz. If the
movable support is pushed to the right by 10 cm so that the joint
is placed on the pulley, the minimum frequency at which the heavy
string can resonate is 1680
Hzx
, then the value of x is ______
07. A train sounds its horn as it approaches an intersection. The horn
can just be heard at a level of 50dB by an observer 10km away.
The average power generated by the horn is 10x watt , then the
value of x is ______ (Nearest value)
SZ1-A_JEE-ADV(2015-P1)_WAT-01_QP_Exam.Dt.14-06-2020
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08. A string of length 0.4m and mass kg−210 is tightly clamped at its
ends. The tension in the string is 1.6N. Identical wave pulses are
produced at one end at equal intervals of time t . This t is the
minimum value for constructive interference between successive
pulses. Find ( )t10 value in seconds
SECTION – II (09 TO 18)
(MULTIPLE CORRECT CHOICE TYPE) This section contains 10 multiple choice questions. Each question has 4 options (A), (B), (C)
and (D) for its answer, out of which ONE OR MORE than ONE option can be correct.
Marking scheme: +4 for correct answer, 0 if not attempted and -2 in all other cases.
09. Standing waves can be produced
A) on a string clamped at both ends
B) on a string clamped at one end and free at the other
C) when incident wave gets reflected from a wall
D) when two identical waves with a phase difference of are moving
in the same direction.
10. A progressive wave travels in a medium 1
M and enters a medium
2M
in which its speed decreases to 75%. The amplitude of incident
wave, reflected wave and transmitted wave are i r
A ,A and t
A
respectively. Then,
A) 1
7
r
i
A
A= B)
1
5
r
i
A
A= C)
6
7
t
i
A
A= D)
4
5
t
i
A
A=
11. The tension in a stretched string fixed at both ends is changed by
2%, the fundamental frequency is found to get changed by 15 Hz.
Select the correct statement(s).
A) Wavelength of the string of fundamental frequency does not
change
B) Velocity of propagation of wave changes by 2%
C) Velocity of propagation of wave changes by 1%
D) Original frequency is 1500Hz
SZ1-A_JEE-ADV(2015-P1)_WAT-01_QP_Exam.Dt.14-06-2020
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12. Which of the following statements are incorrect?
A) Changes in air temperature have no effect on the speed of sound.
B) Changes in air pressure have no effect on the speed of sound.
C) Changes in air pressure have effect on the speed of sound.
D) The speed of sound in water is lower than in air
13. An organ pipe, open at both ends, contains
A) longitudinal stationary waves
B) longitudinal travelling waves
C) transverse stationary waves
D) transverse travelling waves.
14. A typical sound wave has a frequency 1000Hz and has a pressure
amplitude 10 Pa. Density of air is 31 29. kg m− and speed of sound in
air 340 m / s . The maximum value of displacement at any time and
place is A. At 0t ,= pressure is maximum at some point 1x and the
displacement is 1y . Then,
A) 2 63A . m= B) 3 63A . m=
C) 11 63y . m= D) 1
zeroy =
15. Three resonant frequencies of a string are 90, 150 and 210Hz, then
A) The highest possible fundamental frequency of vibration of this
string is 45 Hz
B) The highest possible fundamental frequency of vibration of this
string is 30 Hz
C) If the length of the string is 80cm, then the speed of a transverse
wave on this string is 48 m/s
D) If the length of the string is 80cm, then the speed of a
transverse wave on this string is 32 m/s
SZ1-A_JEE-ADV(2015-P1)_WAT-01_QP_Exam.Dt.14-06-2020
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16. An aluminium rod having a length of 90.0cm is clamped at its
middle point and is set into longitudinal vibrations by stroking it
with a rosined cloth. Assume that the rod vibrates in its
fundamental mode of vibration. The density of aluminium is
32600 kg m− and its Young’s modulus is
10 27 80 10. Nm .− Then
A) The speed of sound in aluminium is 2740m / s
B) The wavelength of sound waves produced in the rod is 180cm
C) The speed of sound in aluminium is 5480m / s
D) The wavelength of sound waves produced in the air is 11 1. cm
17. In a stationary wave, choose correct options.
A) All the particles of the medium vibrate in phase
B) All the antinodes vibrate in phase
C) The alternate antinodes vibrate in phase
D) All the particles between consecutive nodes vibrate in phase
18. Choose the correct options
A) A standing wave is produced on a string clamped at one end
and free at the other. The length of the string must be integral
multiple of 4
B) A standing wave is produced on a string clamped at one end
and free at the other. The length of the string must be integral
multiple of 2
C) The energy of any small part of a string remains constant in a
standing wave
D) The energy of any small part of a string remains constant in a
travelling wave
SZ1-A_JEE-ADV(2015-P1)_WAT-01_QP_Exam.Dt.14-06-2020
Narayana CO Schools
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SECTION – III (19 TO 20) (MATRIX MATCHING LIST TYPE)
➢ This section contains 2 questions. Each question has four statements (A, B, C and D)
given in Column I and four statements (P, Q, R, S& T) in Column II. Any given statement in Column I can have correct matching with ONE or MORE statement(s) given in
Column II.
➢ For example, if for a given question, statement B matches with the statements given in
Q and R, then for the particular question darken the bubbles corresponding to Q and R in the OMR sheet. For each correct matching will be awarded +2 marks ONLY and
0 if not attempted and -1 in all other cases.
19. Regarding speed of sound in a gas, match the following columns
and mark the correct option from the codes given below.
Column-I Column-II
A) Temperature of the gas is made
4 times and pressure 2 times P)
Speed becomes 2 2
times
B) Only pressure is made 4times
without change in temperature Q) Speed becomes 2times
C) Only temperature is changed to 4 times
R) Speed remains unchanged
D)
Molecular mass of the gas is
made 4times (Temperature is
constant)
S) Speed becomes half
20. Column I contains incident wave functions and the end from which
it is reflected and Column II contains the reflected wave function.
Incident wave is reflected from free end or rigid end ( )0i.e. . = Match
the Column I with Column II and mark the correct option from the
codes given below.
Column-I Column-II
A) ( )iy Asin kx t ,= − free end P) ( )r
y A cos kx t= − +
B) ( )i
y A sin kx t= − , rigid end
Q) ( )r
y A sin kx t= +
C) ( )iy A cos kx t ,= − free end R) ( )r
y A sin kx t= − +
D) ( )iy A cos kx t ,= − rigid end S) ( )r
y A cos kx t= +
SZ1-A_JEE-ADV(2015-P1)_WAT-01_QP_Exam.Dt.14-06-2020
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SECTION – I (21 TO 28) (INTEGER ANSWER TYPE)
This section contains 8 questions. The answer is a single digit integer ranging from 0 to 9 (both inclusive).
Marking scheme +4 for correct answer, 0 if not attempted and 0 in all other cases.
21. The equivalent conductance of a 1 N solution of an electrolyte is
nearly 310x times its specific conductance. Then the value of x is
22. The potential of hydrogen electrode is -118 mv. The + H
concentration of the solution is 210x − . Then the value of x is
23. The following are some statements about normal hydrogen
electrode
i) When a Zn electrode is in combination of NHE, Zn electrode
acts as cathode
ii) When a Cu electrode is in combination with NHE, Cu electrode
is the anode
iii) When a Ag electrode is in combination with NHE, Ag electrode
is the anode
iv) When a chlorine electrode is in combination with NHE, chlorine
electrode is the anode
The number of incorrect statements is/are
24. An electrochemical cell has two half cell reactions as
2 02 0 63A e A; E . V+ −+ → = ; 2 02 2 37X X e ; E . V+ −→ + = The cell
voltage will be
25. The equivalent conductivity of a solution containing 2.54g of CuSO4
(M.wt =159.5) per litre is 1 2 191 0. cm eq− − . Its conductivity would be
3 1 110x cm− − − . Then the value of x is
26. The specific and equivalent conductivity of a solution is
1 10 01287. ohm cm− − and 1 2 12 574. ohm cm eq− − respectively. The
concentration (N) of the solution is?
SZ1-A_JEE-ADV(2015-P1)_WAT-01_QP_Exam.Dt.14-06-2020
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27. The conductivities at infinite dilution of 4NH Cl, NaOH and NaCl are
130, 218, 120 1 2 1– –ohm cm eq . If equivalent conductance of N/100
solution of 4NH OH is 10, then degree of dissociation of 4NH OH at
this dilution is 4 3 10 y. − . Then the value of y is
28. The equivalent conductivity of 1M H2SO4 solution
2 11 3 10x –. Scm mol if specific conductance is 26 × 10–2 S cm–1.
Then the value of x is
SECTION – II (29 TO 38) (MULTIPLE CORRECT CHOICE TYPE)
This section contains 10 multiple choice questions. Each question has 4 options (A), (B), (C) and (D) for its answer, out of which ONE OR MORE than ONE option can be correct.
Marking scheme: +4 for correct answer, 0 if not attempted and -2 in all other cases.
29. The EMF of a galvanic cell is determined by using a
A) Voltmeter B) potentiometer C) Coulometer D) Ammeter
30. Which of the following statements is false for the electrochemical
cell?
A) Electrons flow from copper electrode to zinc electrode.
B) Current flows from zinc electrode to copper electrode.
C) Cations moves toward copper electrode.
D) Cations moves toward zinc electrode
31. In a galvanic cell
A) Chemical reaction produces electrical energy
B) Electrical energy produces chemical reaction
C) Oxidation occurs at anode
D) Reduction occurs at cathode
32. Which of the following energy changes does not occurs in
electrolysis
A) Electrical energy → Chemical energy
B) Chemical energy → Electrical energy
C) Chemical energy → internal energy
D) Internal energy → Electrical energy
SZ1-A_JEE-ADV(2015-P1)_WAT-01_QP_Exam.Dt.14-06-2020
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33. An electrochemical cell can behave like an electrolytic cell when
A) 0cellE = B) cell extE E
C) cell extE E D) cell extE E=
34. 0 1 1cellE . V= for Daniel cell. Which of the following expressions are
correct description of state of equilibrium in this cell?
A) 1 1 c. K= B) 2 303
1 12
c
. RTlogK .
F=
C) 2 2
0 059
c
.log K
.= D) 1 1clog K .=
35. Conductivity of an electrolytic solution depends on ____________.
A) Power of AC source
B) Distance between the electrodes
C) Nature of electrolyte
D) Concentration of electrolyte
36. Which of the following is incorrect for the solution of 3CH COOH up
on dilution regarding current carrying species?
A) The number in 1cm3 as well as in total volume increases
B) The number in 1cm3 decreases whereas that in the total volume
remains constant
C) The number in 1cm3 decreases but that in the total volume
increases
D) The number in 1cm3 as well as in total volume decreases
37. What happens at infinite dilution in a given solution?
A) The degree of dissociation is unity for weak electrolytes
B) The electrolyte is 100% ionised
C) All inter ionic attractions disappear
D) All inter ionic attractions will increase
38. The relationship c o b C = − will hold good for the electrolyte?
A) HCl B) KCl C) BaCl2 D)HCN
SZ1-A_JEE-ADV(2015-P1)_WAT-01_QP_Exam.Dt.14-06-2020
Narayana CO Schools
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SECTION – III (39 TO 40)
(MATRIX MATCHING LIST TYPE)
➢ This section contains 2 questions. Each question has four statements (A, B, C and D)
given in Column I and four statements (P, Q, R, S& T) in Column II. Any given statement in Column I can have correct matching with ONE or MORE statement(s) given in
Column II.
➢ For example, if for a given question, statement B matches with the statements given in
Q and R, then for the particular question darken the bubbles corresponding to Q and R in the OMR sheet. For each correct matching will be awarded +2 marks ONLY and
0 if not attempted and -1 in all other cases.
39. Match the Column I with Column II.
Column-I Column-II
A) Debye-Huckel-onsagar equation P) o o o
+ − = + of ions
B) Kohlrausch’s law
Q) 1000
Normality
K =
C) Equivalent conductance
R) 1000
Molarity
K =
D) Degree of ionization of electrolyte,
S)
cmom
T) c o b C = −
40. Match the Column I with Column II.
Column-I Column-II
A) Electrochemical cell P) G Ve = +
B) Electrolytic cell Q) G Ve = −
C) EMF of SHE R) Zero
D) Copper electrode in galvanic cell S) 0G =
T) Cathode
SZ1-A_JEE-ADV(2015-P1)_WAT-01_QP_Exam.Dt.14-06-2020
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SECTION – I (41 TO 48) (INTEGER ANSWER TYPE)
This section contains 8 questions. The answer is a single digit integer ranging from 0 to 9
(both inclusive).
Marking scheme +4 for correct answer, 0 if not attempted and 0 in all other cases.
41. The distance between the foci of the ellipse
2 225 16 100 64 236 0x y x y+ + − − = is equal to
42. If ( ),P x y be a point on the ellipse 2 216 25 400x y+ = and
( ) ( )1 23,0 , 3,0F F= = − are foci of the ellipse, then 1 2
2
PF PF+
is equal
to
43. If the equation of the ellipse with foci ( )4,0 and length of latus
rectum 20
3 is
2 2
2 21,
x y
a b+ = then 2 21
2a b− is equal to
44. The integral value of for which the point 5
7 ,4
− −
lies inside
the ellipse 2 2
125 16
x y+ = is equal to
45. If the normal chord at ' 't on 2 4y ax= subtends a right angle at
vertex, then 2t is equal to
46. 2 8 2y x= − is a normal chord to the parabola 2 8 .y x= If length of
normal chord is ,k then 4 3
k is equal to
47. The normal at ( ),2a a on 2 4y ax= meets the curve again at ( )2 , 2 .at at
Then the value of 2' 't is equal to
48. The number of normals to the parabola 2 4y ax= from the point
( )6 ,0a is
SZ1-A_JEE-ADV(2015-P1)_WAT-01_QP_Exam.Dt.14-06-2020
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SECTION – II (49 TO 58) (MULTIPLE CORRECT CHOICE TYPE)
This section contains 10 multiple choice questions. Each question has 4 options (A), (B), (C)
and (D) for its answer, out of which ONE OR MORE than ONE option can be correct. Marking scheme: +4 for correct answer, 0 if not attempted and -2 in all other cases.
49. Let the equation of the ellipse be ( ) ( )2 2
4 3 2 9 3 1 54.x y x y− + + + + =
Then which of the following is/are correct?
A) Length of major axis is 3
35
B) Length of minor axis is 3
25
C) Centre of ellipse is 1 1
,2 2
−
D) Equations of directrices are 3
3 2 910
x y− = −
50. Normals are drawn to a parabola at the points ( )0,0 and ( )3, 1−
intersect at ( )1,1 . Then
A) Equation of directrix is 3 8 0x y− − =
B) Slope of axis is 3−
C) Focus is 12 4
,5 5
−
D) Slope of tangent at vertex is 1
3−
51. Let ( )1 1,P x y and ( )2 2 1 2, , 0, 0Q x y y y be end points of latusrectum
of the ellipse 2 24 4.x y+ = The equations of parabolas with
latusrectum PQ are
A) 2 2 3 3 3x y+ = + B) 2 2 3 3 3x y− = +
C) 2 2 3 3 3x y+ = − D) 2 2 3 3 3x y− = −
SZ1-A_JEE-ADV(2015-P1)_WAT-01_QP_Exam.Dt.14-06-2020
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52. Let the equation of the ellipse be ( ) ( ) ( )2 2 2
18 1 1 4 2 .x y x y − + + = + +
Then which of the following are correct?
A) Focus is ( )1, 1− B) Directrix is 2 0x y+ + =
C) Eccentricity is 2
3 D) Centre is
9 1,
5 5
−
53. The minimum area of circle which touches the parabolas 2 1y x= +
and 2 1y x= − is k. Then which of the following is/are incorrect?
A) 4
k
= B) 9
32k
= C)
3
8k
= D)
5
32k
=
54. Extremities of the latus rectum of the ellipse ( )2 2
2 21
x ya b
a b+ = having
a given major axis 2a lies on
A) ( )2x a a y= − B) ( )2x a a y= +
C) ( )2y a a x= + D) ( )2y a a x= −
55. The distance of a point on the ellipse 2 2
16 2
x y+ = from the centre is
2. Then the eccentric angles are
A) 4
B)
3
4
C)
5
4
D)
7
4
56. Three normals are drawn from the point ( )14,7 to the curve
2 16 8 0.y x y− − = Then the coordinates of the feet of the normals are
A) ( )3, 4− B) ( )8,16 C) ( )0,0 D) ( )2, 2
57. The set of points on the axis of the parabola ( )2 1
2 42
y x
− = −
from
which three distinct normals can be drawn to the parabola are
A) ( )3,2 B) ( )1,2 C) ( )4, 2 D) ( )5, 2
SZ1-A_JEE-ADV(2015-P1)_WAT-01_QP_Exam.Dt.14-06-2020
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58. PQ is a double ordinate of the parabola 2 4 .y ax= If the normal at P
intersect the line passing through Q and parallel to x-axis at G, the
locus of G is a parabola with
A) vertex at ( )4 ,0a B) focus at ( )5 ,0a
C) directrix as the line 3 0x a− = D) length of latus rectum is 4a
SECTION – III (59 TO 60)
(MATRIX MATCHING LIST TYPE)
➢ This section contains 2 questions. Each question has four statements (A, B, C and D)
given in Column I and four statements (P, Q, R, S& T) in Column II. Any given statement
in Column I can have correct matching with ONE or MORE statement(s) given in
Column II.
➢ For example, if for a given question, statement B matches with the statements given in
Q and R, then for the particular question darken the bubbles corresponding to Q and
R in the OMR sheet. For each correct matching will be awarded +2 marks ONLY and
0 if not attempted and -1 in all other cases.
59. Match the Column I with Column II.
Column-I Column-II
A) The eccentricity of the ellipse
2 29 16 576x y+ = is P)
3
5
B)
The centre of the ellipse
( ) ( )2 2
21
9 16
x y x y+ − −+ = is
Q) ( )1, 1− −
C)
In an ellipse ( )2 2
2 21,
x ya b
a b+ = the
distance between its foci is 6 and
minor axis is 8. Then its
eccentricity is
R) 3
2
D) The eccentricity of the ellipse
2 24 2 16 13 0x y x y+ + + + = is S)
7
4
T) ( )1,1
SZ1-A_JEE-ADV(2015-P1)_WAT-01_QP_Exam.Dt.14-06-2020
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60. Three normals are drawn from ( )3,0 to the parabola 2 4y x= which
meet the parabola at points , , .P Q R Then match the following.
Column-I Column-II
A) Area of PQR is (in sq. units) P) 2
B) Radius of circumcircle of PQR is Q) 5
2
C) Centroid of PQR is R) 5
,02
D) Circumcentre of PQR is S) ( )0,0
T) 2
,03
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