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  • The line lx + my + n = 0 will touch the parabola y^2 = 4ax if ln = am^2.

The line lx + my + n = 0 will touch the parabola y2 = 4ax if ln = am2.

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True  

Give line lx+my+n=0

and parabola y2=4ax

Solving line and parabola for their point of intersection we get 

l\left ( \frac{y^{2}}{4a} \right )+my+n=0

Since line touches the parabola, above equation must have equal roots 

D=0

m^{2}-4*\left ( \frac{1}{4a} \right )*n=0

am2=nl

Posted by

infoexpert22

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