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Differential equation of all tangents to the parabola `y^2=4ax` is (A) `y=mx+a/m , m!=0` (B) `y_1(yy_1-x)=a` (C) `xy_1^2-yy_1+a=0` (D) none of these

A

`y=mx+(a)/(m), m ne0`

B

`y_(1)(yy_(1)-x)=0`

C

`x(y_(1))^(2)-yy_(1)+a=0`

D

`x(y_(1))^(2)-yy_(1)-a=0`

Text Solution

Verified by Experts

The correct Answer is:
C
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