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CGP EDU Academic Team
Published on: August 13, 2026
The condition that straight line with slope m will be normal to the parabola y 2 = 4ax as well as a tangent to the rectangular hyperbola x 2 - y 2 = a 2 is
Text Solution
Verified by ExpertsThe correct answer is:
D
The equation of normal to the parabola y = mx – 2am – am 3 if ‘m’ in the slope of the normal if it is a tangent to the hyperbola x 2 – y 2 =a 2 then
(-2am – am 3 ) 2 = a 2 m 2 - a 2
(2m+m 3 ) 2 = m 2 – 1
m 6 + 4m 4 + 4m 2 = m 2 – 1
m 6 + 4m 4 + 3m 2 + 1 = 0.
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