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  4. The number of normals drawn to the parabola y2=4 x from the point (1,0) is

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Q. The number of normals drawn to the parabola $y^{2}=4 x$ from the point $(1,0)$ is

EAMCETEAMCET 2009

Solution:

Given curve is $y^{2}=4 x$
Also, point $(1,0)$ is the focus of the parabola.
It is clear from the graph that only one normal is possible.
image