If the line , is the tangent to the parabola at the point P and V is the vertex of the parabola, the

Q: JEE Main 2021 Conic Sections: If the line , is the tangent to the parabola at the point P and V is the vertex of the parabola, the...

The correct answer is A. **1. Key Concepts and Formulas for Tangency and Parabola Vertex** This problem requires us to combine concepts from coordinate geometry, specifically dealing with lines and parabolas. We are given a line that is tangent to a parabola, and our goal is to find the slope of a line connecting the point of tangency (P) and the vertex (V) of the parabola. This will involve the following key mathematical principles: * **Vertex of a Parabola:** For a parabola in the standard quadratic form , the x-coord

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If the line , is the tangent to the parabola at the point P and V is the vertex of the parabola, then the slope of the line through P and V is :

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**1. Key Concepts and Formulas for Tangency and Parabola Vertex** This problem requires us to combine concepts from coordinate geometry, specifically dealing with lines and parabolas. We are given a line that is tangent to a parabola, and our goal is to find the slope of a line connecting the point of tangency (P) and the vertex (V) of the parabola. This will involve the following key mathematical principles: * **Vertex of a Parabola:** For a parabola in the standard quadratic form , the x-coordinate of its vertex is given by . The corresponding y-coordinate is found by substituting back into the parabola's equation. *

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