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If the line px + qy =1 is a tangent to t...

If the line px + qy =1 is a tangent to the parabola `y^(2)` =4ax, then

A

`p^(2)-aq=0`

B

`p+aq^(2)=0`

C

`p-aq^(2)=0`

D

`p-2aq^(2)=0`

Text Solution

Verified by Experts

The correct Answer is:
2
`px+qy-1=0`
`qy=px+1`
`y=(-p)/(q)x+1/q`
`Y^(2)=4ax`
C.T
`c=a//m`
`1/q=a//-p//q`
`p=-aq^(2)`
`p+aq^(2)=0`
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