19 JEE MAIN TEST SERIES FFIIIITTJJEEEE JJEEEE ... JEE MAIN TEST SERIES –3_29/01/2018 FIITJEE Ltd. Property No. 80, Behind Sales Tax Office, Mangal Pandey Nagar, University Road,

19 JEE MAIN TEST SERIES–3_29/01/2018

FIITJEE Ltd. Property No. 80, Behind Sales Tax Office, Mangal Pandey Nagar, University Road, Meerut. Tel: 0121–4054378, 7351004567

Web: www.fiitjee.com

FFIIIITTJJEEEE JJEEEE MMAAIINN TTEESSTT SSEERRIIEESS (Full Test –3)

ANSWER KEY

PHYSICS CHEMISTRY MATHEMATICS

1 A 1 A 1 B

2 B 2 D 2 B

3 A 3 A 3 C

4 A 4 A 4 B

5 C 5 D 5 D

6 A 6 B 6 B

7 D 7 C 7 D

8 D 8 D 8 B

9 D 9 B 9 A

10 B 10 B 10 A

11 D 11 D 11 B

12 B 12 C 12 D

13 A 13 A 13 C

14 C 14 A 14 C

15 A 15 B 15 D

16 C 16 D 16 B

17 B 17 C 17 C

18 D 18 D 18 C

19 B 19 C 19 D

20 D 20 A 20 B

21 B 21 D 21 C

22 A 22 C 22 B

23 B 23 B 23 A

24 D 24 A 24 C

25 A 25 D 25 A

26 D 26 C 26 C

27 B 27 B 27 D

28 A 28 B 28 C

29 B 29 C 29 A

30 A 30 A 30 D




Hints & Solution PHYSICS





































MATHEMATICS

1. 10

12

S 25

S 36

12a + 54d = 10a + 55d = 2a = d

31

29

T

T

a 30d 61a

a 28d 57a

2. 5

3C 6 5150

2

3. (n + 1) even n (odd)

1 2n 3 2n 2

2n 1 2n 1

1 3

1 1 1 1C C

2 2 2 2

2n 1 2n 1 2n 12n1 x 1 x 2

22 2

p = 2n

2n

2 1

22 1

4. 3 4 2008

...1! 2! 3! 2! 3! 4! 2006! 2007! 2008!

r

r 2 r 2T

r! r 1 ! r 2 ! r! 1 r 1 r 2 r 1

2 2

r 2 r 2

r! 1 r 1 r 3r 2 r! r 4r 4

r

r 2 r!

r

r 1T

r 2 !

=

r 2 1

r 2 ! r 2 !

= 1

1 1T

2! 3!

2

1 1T

3! 4!

2006

1T

2008!

1 1

2 2008!

5. . .s a s b s b s c s c s a

s c s a s b

s a s b s c

=

2 3s 2ss

s s a s b s c

2a b c

4




6. 2

x 2y x 2y 6 0

2

x 2y 3 x 2y 2 x 2y 6 0

x 2y 3 x 2y 2 0

So d = 3 2

51 4

7. a b c

2 2

a b c

2

a b 2 a b cos 49

a + 25 + 2 × 3 × 5 cos = 49

cos = 15

2 15

= 3

8. f(x) = ax + b f(0) = 3| b = 3

f(x) = a (a = 3) f(x) = 3x + 3 f(x) is continuous on R

9. x y a

1 1 dy

0dx2 x 2 y

1 1

1

x y 1

ydy

dx x

x-axis intercept x – ST = y

xdy

dx

y-axis intercept = dy

y xdx

yy

x y xy x

x

10. x1 sinxe .dx

1 cosx

x 2x 1 xe tan sec dx

2 2 2

ex tan

x

2+ c

Documents

19 JEE MAIN TEST SERIES FFIIIITTJJEEEE JJEEEE ... JEE MAIN TEST SERIES –3_29/01/2018 FIITJEE Ltd. Property No. 80, Behind Sales Tax Office, Mangal Pandey Nagar, University Road,