Let the circle C touch the line x – y + 1 = 0, have the centre on the positive x-axis, and cut off a chord of...

Question

Let the circle C touch the line x – y + 1 = 0, have the centre on the positive x-axis, and cut off a chord of length 4 13 along the line –3x + 2y = 1. Let H be the hyperbola x^2 ^2 - y^2 ^2 = 1, whose one of the foci is the centre of C and the length of the transverse axis is the diameter of C. Then 2 ^2 + 3 ^2 is equal to _____.

Accepted Answer

19

JEE Main 2025 Mathematics question

Solution

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