circle

Related Questions

• A circle passes through the origin and has its centre on $y=x$ . If it cuts ${{x}^{2}}+{{y}^{2}}-4x-6y+10=0$ orthogonally, then the equation of the circle is

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• For the circle ${{x}^{2}}+{{y}^{2}}+6x-8y+9=0$ , which of the following statements is true

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• The points of contact of the circle ${{x}^{2}}+{{y}^{2}}+2x+2y+1=0$ and the co-ordinate axes are

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• The point of contact of the tangent to the circle ${{x}^{2}}+{{y}^{2}}=5$ at the point (1, –2) which touches the circle ${{x}^{2}}+{{y}^{2}}-8x+6y+20=0$ , 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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