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Previous Year Question (PYQs)



If a chord which is normal to the parabola $y^2=4ax$ at one end subtends a right angle at the vertex, then its slope is





Solution

For parabola $y^2=4ax$, slope of normal at parameter $t$ is $-t$.
Let slope of chord be $m=-t$.

Since the chord subtends a right angle at the vertex,
$m^2=2$

So,
$m=\sqrt2$


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