Question

Equation of the chord of the hyperbola $25x^2-16y^2=400$ 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 1

The correct option is B 75x - 16y = 418

Equation of hyperbola is $25x^2-16y^2=400$
$\Rightarrow$ $\frac{x^2}{16}-\frac{y^2}{25}=1$
Chord is bisected at (6, 2)
$\therefore$ $\frac{6x}{16}-\frac{2y}{25}=\frac{6^2}{16}-\frac{2^2}{25}$
$\Rightarrow$ $75x-16y=418$