Q. 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
Explanation
(b)
Given equation of hyperbola is $25x^{2} - 16y^{2} = 400.$ If (6,2) is the mid point of the chord, then equation of chord is $T = S_{1}.$
$\Rightarrow 25(6x) - 16(2y) = (25)(36) - 16(4)$
$\Rightarrow 75x - 16y = 418$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.