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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.

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To solve the problem, we need to find the slope of the tangent at point Q on the parabola \( y = x^2 - 2x + 3 \), given that PQ is a focal chord and point P is \( (2, 3) \). ### Step-by-Step Solution: 1. **Identify the Parabola**: The given parabola is \( y = x^2 - 2x + 3 \). We can rewrite it in vertex form by completing the square. \[ ...
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