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The equation of the chord of the hyperbola 25 x 2 - 16 y 2 = 400 , which is bisected at the point ( 6 , 2 ) , is

Options

  1. A16 x - 75 y = 418
  2. B75 x - 16 y = 418
  3. C25 x - 4 y = 400
  4. DNone of these

Correct answer

B. 75 x - 16 y = 418

Step-by-step solution

Given equation of hyperbola is 25 x 2 - 16 y 2 = 400 . If ( 6 , 2 ) is the mid-point of the chord, then equation of chord is T = S 1 . ⇒ 25 6 x - 16 2 y - 400 = 25 36 - 16 ( 4 ) - 400 ⇒ 75 x - 16 y = 418 .

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