circle

Related Questions

• The locus of the centre of circle which cuts the circles ${{x}^{2}}+{{y}^{2}}+4x-6y+9=0$ and ${{x}^{2}}+{{y}^{2}}-4x+6y+4=0$ orthogonally is

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• If the circles ${{x}^{2}}+{{y}^{2}}+2ax+cy+a=0$ and ${{x}^{2}}+{{y}^{2}}-3ax+dy-1=0$ intersect in two distinct points $P$ and $Q$ then the line $5x+by-a=0$ passes through $P$ and $Q$ for

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• The equation of the circle having the lines ${{x}^{2}}+2xy+3x+6y=0$ as its normals and having size just sufficient to contain the circle $x(x-4)+y(y-3)=0$ is

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• Consider the following statements : $\text{Assertion (A) : The circle} {{x}^{2}}+{{y}^{2}}=1 \text{ has exactly two tangents parallel to the x-axis} \\ \text{Reason (R) : } \frac{dy}{dx}=0 \text{ on the circle exactly at the point }(0,\pm 1)$. Of these statements

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• The number of common tangents to the circles ${{x}^{2}}+{{y}^{2}}=1$ and ${{x}^{2}}+{{y}^{2}}-4x+3=0$ is

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