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If PQ is the focal chord of parabola y=x...

If PQ is the focal chord of parabola `y=x^(2)-2x+3` such that `P-=(2,3)`, then find slope of tangent at Q.

Text Solution

Verified by Experts

We know that tangents at the end point of focal chord are perpendicular.
For given parabola, `(dy)/(dx)=2x-2`
`:." "((dy)/(dx))_((2","3))=2` =slope of tangents at point P
Thus, slope of tangent at point Q is `-(1)/(2)`.
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