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The equation of common tangent to Parabo...

The equation of common tangent to Parabola ` y ^2 = 8x and y = - x ^ 2 ` is :

A

` 2x - y + 1 = 0 `

B

` x - 2 y + 1 = 0 `

C

` 2x + y + 1 = 0`

D

` x + 2y + 1 = 0 `

Text Solution

Verified by Experts

The correct Answer is:
A
`y^(2) = 8x , x^(2) = - y`
Common tanget ` y = mx + (2)/(m) -= y = mx + (m^(2))/(4)`
`rArr " " (2)/(m) = (m^(2))/(4) rArr m^(3) = 8 rArr m = 2`
CT , y = 2x + 1 ` " "rArr " " 2x - y + 1 =0`
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