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At any point P on the parabola y^2-2y-4x...

At any point P on the parabola `y^2-2y-4x+5=0`, a tangent is drawn which meets the directrix at Q. Find the locus of R which divides P externally in the ratio `1/2:1` .

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MODERN PUBLICATION-CONIC SECTIONS-EXERCISE
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  9. In each of the following find the equation of the circle with centre (...

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  18. Find the centre and radius of the circle : x^2 + y^2- 4x- 8y- 45 = 0...

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  20. Find the centre and radius of the circle : 2x^2 + 2y^2- x=0.

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