circle

Related Questions

• A line is drawn through a fixed point $P(\alpha ,\ \beta )$ to cut the circle ${{x}^{2}}+{{y}^{2}}={{r}^{2}}$ at A and B. Then $PA\ .\ PB$ is equal to

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• If P is a point such that the ratio of the squares of the lengths of the tangents from P to the circles ${{x}^{2}}+{{y}^{2}}+2x-4y-20=0$ and ${{x}^{2}}+{{y}^{2}}-4x+2y-44=0$ is 2 : 3, then the locus of P is a circle with centre

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• If the lengths of the chords intercepted by the circle ${{x}^{2}}+{{y}^{2}}+2gx+2fy=0$ from the co-ordinate axes be 10 and 24 respectively, then the radius of the circle is

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• If line $ax+by=0$ touches ${{x}^{2}}+{{y}^{2}}+2x+4y=0$ and is a normal to the circle ${{x}^{2}}+{{y}^{2}}-4x+2y-3=0$ , then value of (a,b) will be

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• A circle touches the axes at the points (3, 0) and (0, –3). The centre of the circle is

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