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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-2y+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 tangent `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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