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Question

Mathematics Question on Tangents and Normals

Let the tangent to the curve x2 + 2x – 4y + 9 = 0 at the point P(1, 3) on it meet the y-axis at A. Let the line passing through P and parallel to the line x – 3y = 6 meet the parabola y2 = 4x at B. If B lies on the line 2x – 3y = 8. then (AB)2 is equal to___

Answer

The correct answer is: 292