FIITJEE PET – IV ND Sr QP PC.pdfThe circumcentre of the triangle formed by the lines x + y = 0, x – y = 0 and x + my = 1 is (A) 2222 m, mm (B) 2222 m, mm

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FIITJEE PET – IV (REG_2ND YEAR) MAINS

DATE: 01.07.2017 Time: 3 hours Maximum Marks: 360 INSTRUCTIONS:

Instructions to the Candidates 1. This Test Booklet consists of 90 questions.

Use Blue/Black ball Point Pen only for writing particulars and bubbling of OMR.

2. For each correct answer 4 Marks will awarded and for each wrong answer 1 Mark will be deducted.

3. Attempt all questions.

4. In case you have not darkened any bubble you will be awarded 0 mark for that question.

5. Use of calculator/logarithmic table is not permitted. Don’t write / mark your answers in this question booklet. If you mark the answers in question booklet, you will not be allowed to continue the exam.

NAME:

ENROLLMENT NO.:



PET-IV (2ND YEAR)-2018-MPC-2

1. The centroid of an equilateral triangle is (0, 0) and the length of the altitude is 6. The equation of the circumcircle of the triangle is

(A) x2 + y2 = 6 (B) x2 + y2 = 16 (C) x2 + y2 = 9 (D) x2 + y2 = 36 2. The locus of a point which divides the join of A(–1, 1) and a variable point P on the circle

x2 + y2 = 4 in the ratio 3 : 2 is (A) 25(x2 + y2) + 20(x + y) + 28 = 0 (B) 25(x2 + y2) – 20(x + y) + 28 = 0 (C) 25(x2 + y2) + 20(x – y) + 28 = 0 (D) 25(x2 + y2) + 20(x – y) – 28 = 0 3. The lines 2x – 3y = 5 and 3x – 4y = 7 are diameters of a circle having area as 154 sq. units. Then the

equation of the circle is 22

taking7

(A) x2 + y2 + 2x – 2y = 47 (B) x2 + y2 – 2x + 2y = 47 (C) x2 + y2 – 2x + 2y = 62 (D) x2 + y2 + 2x – 2y = 62 4. If the two circles x2 + y2 + 2gx + c = 0 and x2 + y2 – 2fy – c = 0 have equal radius then locus of (g, f) is (A) x2 + y2 = c2 (B) x2 – y2 = 2c (C) x – y2 = c2 (D) none of these 5. A variable circle passes through the fixed point A(p, q) and touches x-axis. The locus of the other end

of the diameter through A is (A) (x + p)2 = 4py (B) (y – q)2 = 4px (C) (y – p)2 = 4qx (D) (x – p)2 = 4qy 6. If the lines 2x + 3y + 1 = 0 and 3x – y – 4 = 0 lie along diameters of a circle of circumference 10, then

the equation of the circle is (A) x2 + y2 + 2x + 2y – 23 = 0 (B) x2 + y2 + 2x – 2y – 23 = 0 (C) x2 + y2 – 2x + 2y – 23 = 0 (D) x2 + y2 – 2x – 2y – 23 = 0 7. The equation of the circle passing through the points (4, 1), (6, 5) and having the centre on the line 4x

+ y – 16 = 0 is (A) x2 + y2 + 6x – 4y = 0 (B) 15(x2 + y2) – 94x + 18y + 55 = 0 (C) x2 + y2 – 4x – 3y = 0 (D) x2 + y2 – 6x – 8y + 15 = 0 8. The circumcentre of the triangle formed by the lines x + y = 0, x – y = 0 and x + my = 1 is

(A) 2 2 2 2

m,

m m

(B) 2 2 2 2

m,

m m

(C) 2 2

m,

( m) ( m)

(D) 2 2

m,

( m) ( m)

9. The straight lines joining the origin to the points of intersection of the line 4x + 3y = 24 with the curve

(x – 3)2 + (y – 4)2 = 25 (A) are coincident (B) are perpendicular (C) made equal angles with x-axis (D) none of these 10. How many circles can be drawn each touching all the three lines x + y = 1, x + 1 = y, 7x – y = 6 (A) 1 (B) 2 (C) 3 (D) 4 11. If x + y + k = 0 is a tangent to the circle x2 + y2 – 2x – 4y + 3 = 0, then k = (A) 20 (B) –1, –5 (C) 2 (D) 4 12. The slope m of a tangent through the point (7, 1) to the circle x2 + y2 = 25 satisfies the equation (A) 12m2 + 7m – 12 = 0 (B) 12m2 + 7m + 9 = 0 (C) 9m2 + 12m + 16 = 0 (D) none of these 13. The nearest point on the circle x2 + y2 – 6x + 4y – 12 = 0 from (–5, 4) is (A) (1, 1) (B) (–1, 1) (C) (–1, 2) (D) (–2, 2) 14. A square is inscribed in the circle x2 + y2 – 2x + 4y – 93 = 0 with its sides parallel to the coordinate

axes. One vertex of the square is (A) (5, 8) (B) (8, 5) (C) (8, –5) (D) (–8, 5)




15. If a tangent drawn from the point (4, 0) to the circle x2 + y2 = 8 touches it at a point A in the first

quadrant, then the coordinates of another point B on the circle such that AB = 4 are (A) (2, –2) or (–2, 2) (B) (1, –2) or (–2, 1) (C) (–1, 1) or (1, –1) (D) (3, –2) or (–3, 2) 16. Two vertices of an equilateral triangle are (–1, 0) and (1, 0) and its third vertex lies above the x-axis,

the equation of the circumcircle is

(A) 3x2 + 3y2 – 2 3 y = 2 (B) 2x2 + 2y2 – 3 2 y = 2 (C) x2 + y2 – 2y = 1 (D) none of these 17. The equation of the circle of radius 3 that lies in the fourth quadrant and touching the lines x = 0 and

y = 0 is (A) x2 + y2 – 6x + 6y + 9 = 0 (B) x2 + y2 – 6x – 6y + 9 = 0 (C) x2 + y2 + 6x – 6y + 9 = 0 (D) x2 + y2 + 6x + 6y + 9 = 0 18. A tangent to the circle x2 + y2 = 4 meets the coordinate axes at P and Q. The locus of midpoint of PQ

is

(A) 2 2

1 11

x y (B)

2 2

1 1 1

4x y (C)

2 2

1 1 1

2x y (D) none of these

19. The equations of the circle which touch the y-axis at the origin and the line 5x + 12y – 72 = 0 is (A) x2 + y2 – 6y = 0, x2 + y2 + 24y = 0 (B) x2 + y2 + 2y = 0, x2 + y2 – 18y = 0 (C) x2 + y2 + 18x = 0, x2 + y2 – 8x = 0 (D) x2 + y2 + 4x = 0, x2 + y2 – 16x = 0 20. The equation of circle passing through origin and cutting off intercepts of 6 and 8 units along negative

direction of x and y axes is (A) x2 + y2 + 6x + 8y = 0 (B) x2 + y2 – 6x – 8y = 0 (C) x2 + y2 = 25 (D) none of these 21. If the lengths of the tangents from the point (1, 2) to the circles x2 + y2 + x + y – 4 = 0 and

3x2 + 3y2 – x – y – = 0 are in the ratio 4 : 3, then =

(A) 23

4 (B)

21

4 (C)

17

4 (D)

19

4

22. The interval in which the value of should lie if the line 3x – 4y = cuts the circle x2 + y2 – 4x – 8y = 5

at two distinct points is (A) (15, 35) (B) [35, 15] (C) (–35, 15) (D) [–15, 35] 23. The area of the quadrilateral formed by the tangents from the point (4, 5) to the circle x2 + y2 – 4x – 2y

– 11 = 0 with a pair of radii joining the points of contact of these tangents is (A) 4 (B) 6 (C) 8 (D) 10 24. The parametric equations of the circle (x – 3)2 + (y – 2)2 = 100 are (A) x = 3 + 10cos , y = 2 + 10 sin (B) x + 1 + 5 cos , y = 5 sin (C) x = –3 – 10 cos , y = 2 – 10 sin (D) x = –5 + 10 cos , y = –6 + 10 sin 25. If x = 3 + 2 cos , y = 5 + 2 sin , then the locus of the point (x, y) is a circle with centre and radius (A) (2, 5), –2 (B) (3, 5), 2 (C) (5, 7), 6 (D) (8, 11), 4 26. From any point on the circle x2 + y2 + 2gx + 2fy + c = 0 tangents are drawn to the circle

x2 + y2 + 2gx + 2fy + c sin2 + (g2 + f2) cos2 = 0. The angle between the tangent is

(A) (B) 2 (C) 4 (D) 2

27. An isosceles right angled triangle is inscribed in the circle x2 + y2 = r2. If the coordinates of an end of

the hypotenuse are (a, b), the coordinates of the vertex are (A) (0, a) (B) (b, –a) (C) (b, a) (D) (–b, –a)




28. If O is the origin and OP, OQ are the tangents from the origin to the circle x2 + y2 – 6x + 4y + 8 = 0, the circumcentre of the triangle OPQ is

(A) (3, –2) (B) 3

, 12

(C) 3 1

,4 2

(D) 3

,12

29. An equilateral triangle is inscribed in the circle x2 + y2 = a2 with the vertex at (a, 0). The equation of the

side opposite to this vertex is (A) 2x – a = 0 (B) x + a = 0 (C) 2x + a = 0 (D) 3x – 2a = 0 30. The length of the chord x = 3y + 13 of the circle x2 + y2 – 4x + 4y + 3 = 0 is

(A) 2 5 (B) 5 2 (C) 20 (D) 10 .31. An infinite number of identical capacitors each of capacitance 1 F are

connected as shown in the figure. Then the equivalent capacitance between A and B is

(A) 1 F (B) 2 F (C) ½ F (D)

8 capacitors

16 capacitors

A B

32. In the combination of four identical capacitors

shown, the equivalent capacitance between points P and Q is 1 F. Find the value of each separate capacitance.

PQ

(A) 4F (B) 1F (C) 0.25F (D) 33. A parallel plate condenser is filled with two dielectrics as shown in figure. Area of each plate is A

metre2 and the separation is d meter. The dielectric constants are K1 and K2 respectively. Its capacitance in farad will be

(A) 01 2( )

AK K

d

(B) 0 1 2

2

A K K

d

(C) 01 22( )

AK K

d

(D) 0 1 2

2

A K K

d

K2K1

A/2 A/2

d

34. The area of the plates of a parallel plate condenser is 100 cm2. The paper (K = 2.5) of thickness 0.005

cm is put in between the plates. If the paper can tolerate a field of 5 107 volt/m, the maximum potential up to which the condenser can be charged is

(A) 2500 volts (B) 7500 volts (C) 500 volts (D) 10,000 volts 35. An automobile spring extends 0.2 m for 5000 N load. The ratio of potential energy stored in this spring

when it has been compressed by 0.2 m to the potential energy stored in a 10F capacitor at a potential difference of 10,000V is

(A) 2 (B) ½ (C) 1 (D) ¼ 36. A capacitor of capacity C1 is charged up to potential V volt and then connected in parallel to an

uncharged capacitor of capacity C2. The final potential difference across each capacitor will be

(A) 21

2

CC

VC

(B)

21

1

CC

VC

(C) V

C

C1

1

2

(D) V

C

C1

1

2




37. In the circuit shown in the figure the potential difference across the 4.5F capacitor

(A) 8 volts (B) 6 volts (C) 4 volts (D) 8/3 volts

4.5F 3F

6F

12V

38. A parallel plate capacitor has place area A and separation d. It is charged too a potential difference

V0. The charging battery is disconnected and the plates are pulled apart to three times the initial separation. The work required to separate the plate is

(A) d

AV3 200 (B)

d2

AV 200 (C)

d3

AV 200 (D)

d

AV 200

39. The metal plate on the left in the figure carries a charge +q. The

metal plate on the right has a charge of -2q. What charge will flow through S when it is closed if the central plate is initially neutral?

(A) zero (B) –q (C) +q (D) +2q

+ + + + + + + +

-2q q

S

40. The expression for the equivalent capacitance of the system shown

is (A is the cross-sectional area of one of the plates) (A) 0A/3d (B) 30A (C) 0A/6d (D) none of these

d a

a

a

d

d

3a

3d

41. 5 condensers are connected as shown in the figure. the

effective capacitance between ‘A’ and ‘B’ is

(A) 25

F32

(B) 32

F25

(C) 32

F9 (D)

9F

32

A

B

8F

1 F 2 F

8F

4F

42. Consider the following statements about electric dipole and select the correct ones:

S1: Electric dipole moment vector p

is directed from the negative charge to positive charge.

S2: Electric field of a dipole at a point with position vector r

depends on r

as well as angle between

r

and p

.

S3: The electric dipole potential falls–off as 2

1

r and not as

1

r where r is distance along the axis

S4: In a uniform electric field the electric dipole experiences no net forces but a torque p E

.

(A) S1 : S3 and S4 (B) S3 and S4 (C) S2 and S3 (D) all 43. The capacitance of two condensers in parallel is four times their capacitance when they are

connected in series. The ratio of the individual capacitances will be (A) 1:2 (B) 1:1 (C) 2:1 (D) 4:1 44. A parallel plate capacitor of capacitance C is connected to a battery and is charged to a potential

difference V. Another capacitor of capacitance 2C is similarly charged to a potential difference 2V. The charging battery is now disconnected and the capacitors are connected in parallel to each other in such a way that the positive terminal of one is connected to the negative terminal of the other. The final energy of the configuration is

(A) zero (B) 23CV

2 (C) 225

CV6

(D) 29CV

2




45. The force between the plates of a parallel plate capacitor of capacitance C and distance of separation of the plates d with a potential difference V between the plates is:

(A) 2CV

2d (B)

2 2

2

C V

2d (C)

2 2

2

C V

d (D)

2V d

C

46. A capacitor is charged to store an energy U. The charging battery is disconnected. An identical

capacitor is now connected to the first capacitor in parallel. The energy in each of the capacitors is:

(A) U

2 (B)

3U

2 (C) U (D)

U

4

47. Two spherical conductors A and B of radii a and b(b > a) are placed

concentrically in air. A is given a charge +Q while B is earthed. Then the equivalent capacitance of the system is:

(A) 0

ab4

b a

(B) 04 (a b)

(C) 04 b (D) 2

0

b4

b a

48. Two spherical conductors A and B of radii a and b (b> a) are placed

concentrically in air. B is given a charge +Q and A is earthed. The equivalent capacitance of the system is:

(A) 0

ab4

b a

(B) 04 (a b)

(C) 04 b (D) 2

0

b4

b a

49. Six metallic plates each with a surface area of one side

A, are placed at a distance d from each other. The alternate plates are connected to points P and Q as shown in figure. The capacitance of the system is:

(A) 0A

d

(B) 05 A

d

(C) 06 A

d

(D) 0A

5d

50. Four metallic plates, each with surface area of one side A, are placed at a distance d from each other.

The plates are connected as shown in the adjoining figure. Then the capacitance of the system between P and Q is:

51. Six identical capacitors each of 1 F are joined in parallel and the combination is put across a battery

of emf 2 volt. Now, the battery is disconnected and the capacitors are joined in series. The total energy and potential difference across the series combination is:

(A) 2 J and 2 V (B) 2 J and 12 V (C) 12 J and 2 V (D) 12 J and 12 V 52. All the six capacitors shown in the circuit are identical. Each can

withstand maximum 200 volt between its terminals. The maximum voltage that can be applied safely between A and B is:

(A) 800 V (B) 400 V (C) 1200 V (D) 200 V




53. Five capacitors each of capacitance value C are connected as shown in the figure. The ratio of capacitance between P and R and the capacitance between P and Q is:

(A) 3 : 1 (B) 5 : 2 (C) 2 : 3 (D) 1 : 1

54. A parallel plate capacitor is charged and the charging battery is then disconnected. If the plates of the

capacitor are moved further apart by means of insulating handles (A) the charge on the capacitor increases (B) the voltage across the plate increases (C) the capacitance increases (D) the electrostatic energy stored in the capacitor decreases 55. In the given circuit, a charge of + 80 C is given to the upper plate of the

4 F capacitor. Then, in the steady state, the charge on the upper plate of the 3 F capacitor is

(A) + 32 C (B) + 40 C (C) + 48 C (D) + 80 C

56. The charge deposited on 4 F capacitor in the circuit is: (A) 6 x 10–6 C (B) 12 x 10–6 C (C) 24 x 10–6 C (D) 36 x 10–6 C

57. A network of six identical capacitors, each of value C, is made

as shown in the figure. The equivalent capacitance between the points A and B is:

(A) C

4 (B)

3C

4 (C)

3C

2 (D)

4C

3

58. The potential difference across the capacitor

of 2 F is (A) 10 V (B) 60 V (C) 28 V (D) 56 V

59. From a supply of identical capacitors rated 8 F, 250 V, the minimum number of capacitors required to

form a composite 16 F, 750 V is (A) 2 (B) 4 (C) 16 (D) 18

660. The figure shows a circuit of four capacitors. The effective capacitance between X and Y is

X Y

2F 1F

1F 1F

(A) 2 F (B) 1 F (C) 3 F (D) 1.5 F 61.

O

OOHCH3

CH3MgBr / H+ KMnO4 (cold dil.) CrO3 H+ / Δ (1) (2) (3) (4) For the above conversion the correct order of reagents used is: (A) 1 → 2 → 3 → 4 (B) 1 → 4 → 3 → 2 (C) 1 → 4 → 2 → 3 (D) 2 → 3 → 4 → 1




62. An optically active alcohol C7H14O is oxidized reagent to an optically inactive (achiral) ketone. Which

of the following meets these facts ?

(A)

OH

(B)

OH

(C) OH

(D)

HO 63.

OH

Ph

OH

Ph

Product (P), then p is (Major)

H /

(A) C - H

O

(B)

OPh

Ph

(C) CH2 - OH

(D)

O

64.

O-CH2-CH=CH2

product(P), then P is

(A)

CH2-CH=CH2

OH

(B)

OH

CH2-CH=CH2

(C)

OH

CH2-CH=CH2

(D)

OH

CH2-CH=CH3




65. Among the following compounds which can be dehydrated very easily ? (A) CH3CH2CH2CH2CH2OH (B) CH3CH2CH2CH(OH)CH3 (C) CH3CH2C(OH)(CH3)CH2CH3 (D) CH3CH2CH(CH3)CH2CH2OH

66. 2 2Cl 3Cl3 2 3 3Step I Step 2

CH CH OH CH CHO Cl CCHO

In the above reaction, the role of Cl2 in step 1 and step 2 respectively is : (A) oxidation, chlorination (B) reduction, chlorination (C) oxidation, addition (D) reduction, substitution 67. Which of the following will produce only one product on reduction with LiAlH4 ? (A) CH3COOCH2CH3 (B) CH3CH2OCOCH2CH3 (C) CH3CH2OCOCH3 (D) CH3CH2OCOCH2CH2CH3 68. In the following reaction.

Red P2 5 2 5 2HI

C H O C H 4H 2X H O, X is :

(A) ethane (B) ethylene (C) butane (D) propane 69. Which of the following is not cleaved by HI even at 525 K ? (A) 6 5 3C H O CH (B) 6 5 6 5C H O C H

(C) 6 5 3 7C H OC H (D) O

70. In the reaction

OCH3HBr

?

the products are :

(A) OH and CH3Br (B) Br and CH3Br

(C) Br and CH3OH (D) OCH3 and H2Br

71. Which of the following will be most easily dehydrated in acidic condition ?

(A) O

C

OH

(B) OH

(C)

O

C

OH

(D)

O

C

OH 72. Which of the following compounds has the most acidic nature ?

(A) CH2OH

(B) OH

(C) OH

(D) CH

OH




73. Strength of acidity is in order :

OH OH

CH3

OH

NO2

NO2

OH

NO2

(III)(I) (II) (IV) (A) II > I > III > IV (B) III > IV > I > II (C) I > IV > III > II (D) IV > III > I > II

74. The reaction with HBr and CH3 CH CH OH gives predominantly

(A) CH3 CH CH2 OH

Br(B) CH3 CH2 CH OH

Br

(C) CH3 CH CH2 Br

Br (D) CH3 CH2 CH Br

Br

75. What is the major product of the following reaction?

NaBH4 Product

CO2H

O

(A)

CO2H

OH

(B)

CO2H

OH

(C)

CO2H

O

(D)

CH2OH

O

76. The number of hydroxyl group(s) in the product Q is

CH3 CH3

OH

H

H+

P

aqueous dilute KMnO4 (excess)

0 °CQ

(A) 1 (B) 2 (C) 3 (D) 4 77.

Me

Me

OH

OH

HIO4LiAlH4 (excess)

BA

How many stereoisomers of B are possible (A) 2 (B) 0 (C) 4 (D) 3




78. The compound on reaction gives a pinacolone having a combination of

OH

OH

H+

(A) Six member ring and a four member ring (B) Two five member rings (C) Six member ring and a five member ring (D) Seven member and a three member ring 79. Hypo is used in photography to: (A) reduce the silver bromide grains to metallic silver (B) convert the metallic silver to silver salt (C) remove undecomposed AgBr as soluble silver thiosulphate complex (D) remove reduced silver 80. Which one of the following is the strongest acid ?

(A) 2

SO OH (B) 2 2SO OH (C) 2CIO OH (D) 3CIO OH

81. There is no S – S bond in

(a) S2O (b) S4O6 (c) S2O (d) S2 O

82. Which product in formed when 3O reacts with Hg.

(A)HgO (B) 2 2Hg O (C) 2Hg O (D) 2HgO

83. The structure of 3SO is

(A) Angular (B) trigonal planar (C) tetrahedral (D) None 84. The oxidation number of sulphur in 8 2 2S ,S F and 2H S respectively are

(A) 0, +1, -2 (B) +2, +1, -2 (C) 0,+1,+2 (D) -2,+1,-2 85. In nitrate ion, the number of bond pair and lone pair of electrons on nitrogen atom are (A) 2,2 (B) 3,1 (C) 1,3 (D) 4,0 86. Which of the following has p d bonding ?

(A) 3NO (B) 23SO (C) 3

3BO (D) 23CO

87. In 2KO , the oxidation number of oxygen is

(A) 0 (B) +2 (C)1

2 (D)

1

2

88. The acidic character of dioxides of members of oxygen family decreases in the order (A) SeO2 > SO2 > FeO2 > PoO2 (B) SO2 > SeO2 > TeO2 > PoO2 (C) PoO2 > TeO2 > SeO2 > SO2 (D) TeO2 > PoO2 > SeO2 > SO2 89. The increasing order of acid character of the oxides; CO2, N2O5, SiO2 and SO3 follows the sequence (A) CO2 > N2O5 > SiO2 > SO3 (B) SiO2 < CO2 < N2O5 < SO3 (C) SO3 > N2O5 > CO2 > SiO2 (D) N2O5 > SO3 < SiO2 < CO2 90. Assertion (A) : Tailing of mercury occurs on passing O3 through Hg. Reason (R) : This is due to oxidation of mercury. (A) If both (A) and (R) are correct and (R) is the correct explanation of (A) (B) If both (A) and (R) are correct and (R) is not the correct explanation of (A) (C) If (A) is correct and (R) is wrong (D) if (A) is wrong and (R) is correct




FIITJEE PET – IV (REG_2ND YEAR) MAINS_SET–A_ANSWERS

DATE: 01.07.2017

MATHEMATICS

1. B 2. D 3. B 4. B

5. D 6. C 7. D 8. B

9. B 10. D 11. B 12. D

13. B 14. B 15. A 16. D

17. A 18. A 19. C 20. A

21. B 22. C 23. C 24. A

25. B 26. B 27. B 28. B

29. C 30. D

PHYSICS

31. B 32. A 33. B 34. A

35. C 36. B 37. A 38. D

39. C 40. D 41. B 42. D

43. B 44. B 45. A 46. D 47. A 48. D 49. B 50. C

51. D 52. B 53. C 54. B

55. C 56. C 57. D 58. B

59. D 60. A

CHEMISTRY

61. C 62. C 63. B 64. B/D

65. C 66. A 67. A/C/D 68. A

69. B 70. A 71. A 72. B

73. B 74. B 75. B 76. D

77. D 78. C 79. C 80. D

81. D 82. C 83. B 84. A

85. D 86. B 87. D 88. B

89. B 90. A




FIITJEE PET – IV (REG_2ND YEAR) MAINS_SET–B_ANSWERS

DATE: 01.07.2017

MATHEMATICS

1. B 2. D 3. B 4. B

5. A 6. D 7. A 8. A

9. C 10. A 11. B 12. C

13. C 14. A 15. B 16. B

17. B 18. B 19. C 20. D

21. B 22. D 23. B 24. B

25. D 26. C 27. D 28. B

29. B 30. D

PHYSICS

31. B 32. D 33. B 34. B

35. A 36. D 37. A 38. D

39. B 40. C 41. D 42. B

43. C 44. B 45. C 46. C

47. D 48. B 49. D 50. A

51. B 52. A 53. B 54. A

55. C 56. B 57. A 58. D

59. C 60. D

CHEMISTRY

61. A 62. B 63. B 64. B

65. B 66. D 67. D 68. C

69. C 70. D 71. D 72. C

73. B 74. A 75. D 76. B

77. D 78. B 79. B 80. A

81. C 82. C 83. B 84. B/D

85. C 86. A 87. A/C/D 88. A

89. B 90. A

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FIITJEE PET – IV ND Sr QP PC.pdfThe circumcentre of the triangle formed by the lines x + y = 0, x – y = 0 and x + my = 1 is (A) 2222 m, mm (B) 2222 m, mm