circle

Related Questions

• Circles are drawn through the point (2, 0) to cut intercept of length 5 units on the x-axis. If their centres lie in the first quadrant, then their equation is

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• Let $P({{x}_{1}},{{y}_{1}})$ and $Q({{x}_{2}},{{y}_{2}})$ are two points such that their abscissa ${{x}_{1}}$ and ${{x}_{2}}$ are the roots of the equation ${{x}^{2}}+2x-3=0$ while the ordinates ${{y}_{1}}$ and ${{y}_{2}}$ are the roots of the equation ${{y}^{2}}+4y-12=0$ . The centre of the circle with PQ as diameter is

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• The polars drawn from (–1, 2) to the circles ${{S}_{1}}\equiv {{x}^{2}}+{{y}^{2}}+6y+7=0$ and ${{S}_{2}}\equiv {{x}^{2}}+{{y}^{2}}+6x+1=0$ , are

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• If $(\alpha ,\beta )$ is the centre of a circle passing through the origin, then its equation 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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