The equation of the pair of asymptotes of the hyperbola x^2-2y^2-8x+8y+4=0 is

Question

Accepted Answer

Correct answer: C. (c) ∵x^2-2y^2-8x+8y+4=0 ⇒ (x-4 )^2-2 (y-2 )^2-16+8+4=0 ⇒ (x-4 )^2-2 (y-2 )^2=4 Then, the equation of asymptote is (x-4 )^2-2 (y-2 )^2=0 ⇒x^2+16-8x-2y^2+8y-8=0 ⇒x^2-2y^2-8x+8y+8=0

$The equation of the pair of asymptotes of the hyperbola x^{2} - 2 y^{2} - 8 x + 8 y + 4 = 0 is$

Solution

More Hyperbola PYQs