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Maths Conic Sections Parabola Subjective Type
Published on: August 14, 2026

If normal of circle x 2 + y 2 + 6x + 8y + 9 = 0 intersect the parabola y 2 = 4x at P and Q then find the locus of point of intersection of tangent’s at P and Q.

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The correct answer is:
CHECK THE SOLUTION.

x + 2y – 3 = 0

Sol.

PQ is chord of contact

T = 0

ky = 2(x + h) ...(1)

above line passes through thecentre ofthe circle i.e. (–3, –4)

–4k = 2(h – 3)

2h + 4k – 6 = 0

x + 2y – 3 = 0

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