﻿   If C is the centre and A, B are two points on the conic 4x2 + 9y2 – 8x – 36y + 4 = 0 such that ∠ACB = π/2 then CA–2 +CB–2 is equal to   : Kaysons Education

# If C Is The Centre And A, B Are Two Points On The Conic 4x2 + 9y2 – 8x – 36y + 4 = 0 Such That ∠ACB = π/2 Then CA–2 +CB–2 is Equal To

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## Question

### Solution

Correct option is

We have,

Clearly, the coordinates of C are (1, 2).

Suppose CA makes an angle θ with the major axis.

Then, the coordinates of A and B are

Since A and B lie on (i). Therefore,

and,

and,

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