Question:
If the three normals drawn to the parabola, $y^{2}=2 x$ pass through the point $(a, 0) a \neq 0$, then 'a' must be greater than :
Correct Option: , 4
Solution:
For standard parabola
For more than 3 normals (on axis)
$x>\frac{L}{2}$ (where $L$ is length of L.R.)
For $y^{2}=2 x$
L.R. $=2$
for $(a, 0)$
$a>\frac{\text { L.R. }}{2} \Rightarrow a>1$
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