Published by:
CGP EDU Academic Team
Published on: August 14, 2026
If C is the centre and A, B are two points on the conic 4x2 + 9y2 – 8x – 36y + 4 = 0 such that ∠ ACB = 
, then CA–2 + CB–2 is equal to-
A
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
A
The equation can be written as
4(x – 1)2 + 9(y – 2)2 = 36 which is an ellipse centred 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
CA2 (4cos2 θ + 9 sin2 θ ) = 36 and
CB2 (4sin2 θ + 9cos2 θ ) = 36 giving
CA–2 + CB–2= 
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
The equation of represents
The number of points of intersection of the two curves and is
If the chord joining the points and of the parabola passes through the focus of the parabola, th…
The locus of the midpoint of the line segment joining the focus to a moving point on the parabola …
On the parabola , the point least distance from the straight line is
The length of the latus-rectum of the parabola whose focus is and directrix is , is