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Question: Equation of the chord of the hyperbola 25x<sup>2</sup> - 16y<sup>2</sup> = 400 which is bisected at ...

Equation of the chord of the hyperbola 25x2 - 16y2 = 400 which is bisected at the point (6, 2) is:

A

16x - 75y = 418

B

75x - 16y = 418

C

25x - 4y = 400

D

None of these

Answer

75x - 16y = 418

Explanation

Solution

T = S1

⇒ 25 (6x) - 16 (2y) = (25) (36) - 16 (4).

⇒ 75x - 16y = 418.