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A circle of radius r passes through the ...

A circle of radius `r` passes through the origin `O` and cuts the axes at `A and B`. Let `P` be the foot of the perpendicular from the origin to the line `AB`. Find the equation of the locus of `P`.

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A DAS GUPTA-Circles-EXERCISE
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  4. Find the locus of the midpoint of the chords of the circle x^2+y^2=a^2...

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  6. Prove that the locus of a point which moves such that the sum of th...

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  9. The locus of the perpendiculars drawn from the point (a, 0) on tange...

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  12. Find the locus of the point of intersection of tangents to the circle ...

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  15. Locus of the point of intersection of perpendicular tangents to the ...

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  16. If the polar of a point (p,q) with respect to the circle x^2 +y^2=a^2 ...

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  17. Find the locus of the centres of the circle which cut the circles x^2+...

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  18. The circle (x-a)^2+(y-a)^2=a^2 is rolled on the y-a xi s in the positi...

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  19. The circle x^2+y^2 - 4x-8y + 16 = 0 rolls up the tangent to it at (2+s...

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