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Related Questions

• The value of k so that ${{x}^{2}}+{{y}^{2}}+kx+4y+2=0$ and $2({{x}^{2}}+{{y}^{2}})-4x-3y+k=0$ cut orthogonally is

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• The equation of the circumcircle of the triangle formed by the lines $y+\sqrt{3}x=6,\ y-\sqrt{3}x=6,$ and $y=0$ , is

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• If the circle ${{x}^{2}}+{{y}^{2}}+6x-2y+k=0$ bisects the circumference of the circle ${{x}^{2}}+{{y}^{2}}+2x-6y-15=0,$ then $k=$

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• The locus of a point which moves so that the ratio of the length of the tangents to the circles ${{x}^{2}}+{{y}^{2}}+4x+3=0$ and ${{x}^{2}}+{{y}^{2}}-6x+5=0$ is $2:3$ is

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• The number of common tangents to two circles ${{x}^{2}}+{{y}^{2}}=4$ and ${{x}^{2}}-{{y}^{2}}-8x+12=0$ is

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