Questions
The asymptotes of the hyperbola xy = hx + ky are
a
x-k=0 and y-h=0
b
x+h=0 and y+k=0
c
x - k =0 and y + h = 0
d
x+k= 0 and y-h=0
detailed solution
Correct option is A
The given hyperbola is xy-hx-lq=0 -----1The equation of asymptotes is given by xy−hx−ky+c=0----2Equation (2) gives a pair of straight lines. So, AHGHBFGFC=0or 01/2−h/21/20−k/2−h/2−k/2c=0or hk8+hk8−c4=0or c=hkHence, the asymptotes are xy−hx−ky+hk=0 or (x−k)(y−h)=0Talk to our academic expert!
Similar Questions
Statement-1: If the angle between two asymptotes of a hyperbola its eccentricity is .
Statement 2: Angles between the asymptotes of the hyperbola .
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