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Question

# The line x + my + n = 0 will be a tangent to the parabola y^{2} = 4ax if

- mn = a
*l *^{2}
- m = an
^{2}
- n= am
^{2}
- am = n
^{2}

*l*^{2}^{2}^{2}^{2}## The correct answer is: n= am^{2}

### To find the condition for which the equation is tangent to parabola.

Given, x + my + n = 0

y =

given, = 4ax

Therefore, = 4ax.

If the line is to be tangent,

Therefore, for the equation to be tangent to parabola, .

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