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If two of the three feet of normals draw...

If two of the three feet of normals drawn from a point to the parabola `y^2=4x` are (1, 2) and `(1,-2),` then find the third foot.

A

A. (2,2)

B

B. (2,-2)

C

C. (0,0)

D

D. None of these

Text Solution

Verified by Experts

The sum of the ordinates of the feet is `y_(1)+y_(2)+y_(3)=0`.
Therefore,
`2+(-2)+y_(3)=0`
`or" "y_(3)=0`
So, the third foot is (0,0).
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