Srg PAPER

Multiple Choice (Single Correct) Q.1

+3, -1

If the normals at any point P of an ellipse with foci (4,1) and (1,4) passes through (3,2). Find the point of intersection of major axis and tangent at P. (A) (6,-1)

(B) (7,-2)

(C) (8,-3)

(D) (5,0)

Ans: B

Q.2

The value of

19

(−1 )r −1 r ∑ 20C r=1 ❑ r (A) 0

(B) 2

(C)

19/10

(D)

10/11

Ans: D Q.3

If straight lines 2x + 3y - 1 = 0, x + 2y - 1 = 0 and ax + by - 1 = 0 form a triangle with origin as orthocentre, then (a, b) is equal to (A) (6, 4)

(B) (-3, 3)

(C) (-8, 8)

(D) (0, 7)

Ans: C Q.4

The sum of the series

2

2

3

sin θ . sec 3θ+ sin 3θ . sec3 θ+sin 3 θ . sec3 θ+ … … …upto n terms is

(A)

1 [ tan 3n θ−tan 3n−1 θ ] 2

(B)

(C)

1 [ tan 3n θ−tan θ ] 2

(D) none of these

[ tan 3n θ−tan θ ]

Ans: C

Interger Type Q.1

(+4, -1)

If the roots of the equation 7

7

r =1

r =1

7 ∑ ℑ ( z r ) −2 ∑ ℜ( z r ) Ans: 7

( z+1 )7 =z 7 be

[ { z r } , 1≤ r ≤7 ]

. Find the value of