Ques 1) If C is the centre and A,B are two points on the conic 4x^{2}\ +\ 9y^{2} - 8x - 36y + 4 = 0 such that
angle ACB = \pi /2 , then CA -2 + CB -2 is equals to :-
(a) 13/36 (b) 36/13 (c) 16/33 (d) 33/16
Ques 2) If p and P' denotes the lengths of the perpendicular from a focus and the centre of the ellipse with semi major axis of length a, respectively, on a tangent to the ellipse and r denotes the focal distance of the point , then :-
(a) ap = rp' (b) rp = ap' (c) ap = rp' + 1 (d) ap' + rp = 1
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1 Answers
111) nothing coming to my mind except some manipulations..
take A as (5,3) and B as (2,5)..
thus, CA2=9 and CB2= 4.
thus, the answer is 1336. (a)
angle ACB = ∩/2
