JEE Advanced Model Paper 20 with solutions for online practice

Question : 29 of 57

Marks: +1, -0

Column-I

Column-II

A) In triangle ABC, if C = sin−1 (4/5) + sin−1 (5/13) + sin−1 (16/65) and cot

, cot

are the roots of the equation px2 + qx + r = 0 then the line px + qy + r = 0 passes through

P) (8, 9)

B) The image of the point A(3, 4) with respect to the linex – 2y + 10 = 0 is B and the image of B with respect tox – y + 1 = 0 is C. Then the circumcentre of triangle ABC is

Q) (–1, 1)

C) Normals are drawn from the point (32, 36) to the hyperbolaxy = 1 and (xi,yi) i = 1, 2, 3, 4 be the feet of the co-normalpoints. If the algebric sum of perpendicular lengths drawn from (xi,yi) on to a variable line vanishes, then the line passes through

R) (2, 2)

D) If the function f(x) =

4+sin2x+asinx+bcosx

when x ≠ 0 , is continuous at x = 0, then the order pair (b/a, f(0) ) is equal to

S)vertex of the conic|z + 1 – 2i| = Im z

A - Q , S ; B - P ; C - P ; D - R
A - Q , S ; B - P ; C - P ; D - R , S
A - Q ; B - P ; C - P ; D - R
A - P , Q , S ; B - P ; C - P ; D - R

Validate

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