Question

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

• A. $6x-7y=418$
• B. $75x-16y=418$
• C. $25x-4y=400$
• D. None of these

Answer 1

Answer: (B)

$75x-16y=418$

Given hyperbola is $25x^2-16y^2=400$
If (6, 2) is the midpoint of the chord, then equation of chord is T = S${}_1$
$\Rightarrow 25\left(6x\right)-16\left(2y\right)=25\left(36\right)-16\left(4\right)$
$\Rightarrow 75x-16y=450-32$
$\Rightarrow 75x-16y=418$