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Parabolas having their vertices at the o...

Parabolas having their vertices at the origin and foci on the x-axis.

A

y=-2xy'

B

x=2yy'

C

xy=y'

D

x=yy'

Text Solution

Verified by Experts

The correct Answer is:
A
Let th equation of parabola is
` y^(2)=4ax`
On differentiating w.r.t.x, we get
2yy' = 4a
` Rightarrow 1/2 yy' =a`
put value of 'a' in equation (i),we get
` y^(2) = 4/2 yy'x`
` Rightarrow y= 2xy`
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