Column-I Column-II A) In triangle ABC, if C = sin^{-1} (4/5) + sin^{-1} (5/13) + sin^{-1} (16/65) and cot A/2 , cot B/2 are the roots of the equation px^2 + 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 (x_i,y_i) i = 1, 2, 3, 4 be the feet of the co-normalpoints. If the algebric sum of perpendicular lengths drawn from (x_i,y_i) on to a variable line vanishes, then the line passes through R) (2, 2) D) If the function f(x) = {4+sin2x+asinx+bcosx}/x^2 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

Question

Column-I Column-II A) In triangle ABC, if C = sin^{-1} (4/5) + sin^{-1} (5/13) + sin^{-1} (16/65) and cot A/2 , cot B/2 are the roots of the equation px^2 + 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 (x_i,y_i) i = 1, 2, 3, 4 be the feet of the co-normalpoints. If the algebric sum of perpendicular lengths drawn from (x_i,y_i) on to a variable line vanishes, then the line passes through R) (2, 2) D) If the function f(x) = {4+sin2x+asinx+bcosx}/x^2 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

Examsnet · Accepted Answer

Correct Answer is : A - Q , S ; B - P ; C - P ; D - R

JEE Advanced Model Paper 20 with solutions for online practice