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If the angle between the normal to the parabola `y^(2)=4ax` at point P and the focal chord passing through P is `60^(@)`, then find the slope of the tangent at point P.

Text Solution

Verified by Experts


By property,
SP=ST=SN.
Given that `angleSPN=60^(@)`
`:." "angleSPT=30^(@)`
Since `ST=SP,anglePTS=30^(@)`
Therefore, slope of tangent `=tan30^(@)=(1)/(sqrt(3))`.
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