Published by:
CGP EDU Academic Team
Published on: August 13, 2026
If C is the centre and A, B are two points on the conic 4x 2 + 9y 2 –8x –36y + 4 = 0 such that A 
B = 
, then CA –2 + CB –2 is ….
Text Solution
Verified by ExpertsThe correct answer is:
0000
Ans. 0000
Sol. The equation can be written as
4(x –1) 2 + 9(y –2) 2 = 36 which is an ellipse centered at (1, 2). If CA makes an angle θ with the major axis, then
A ≡ [1 + CA cos θ , 2 + CA sin θ ]
B ≡ 
As A and B are points on the conic
CA 2 (4 cos 2 θ + 9 sin 2 θ ) = 36 and
CB 2 (4 sin 2 θ + 9 cos 2 θ ) = 36 giving
CA –2 + CB –2 = 
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