Question

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 1

Answer: (B)

75x – 16y = 418

Answer 2

Equation of hyperbola is 25x² – 16y² = 400

Ž $\frac{x^{2}}{16}$ – $\frac{y^{2}}{25}$ = 1

Chord is bisected at (6, 2)

\ $\frac{6x}{16} - \frac{2y}{25} = \frac{6^{2}}{16} - \frac{2^{2}}{25}$

Ž 75x – 16y = 418.