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JEE MATHEMATICS MCQ: PARABOLA

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Analyzing +4 | -1
The locus of the mid-point of the line segment joining a point on the parabola y2=4axy^2=4 a x and the point of contact of circle drawn on focal distance of the point as diameter with the tangent at the vertex, is
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Correct option: D
2y2=9ax2 y^2=9 a x
Option D (2y2=9ax2 y^2=9 a x) is correct because the locus of the midpoint is the parabola 2y2=9ax2y^2 = 9ax.

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