circle

Related Questions

• A point P moves in such a way that the ratio of its distance from two coplanar points is always a fixed number $(\ne 1)$ . Then its locus 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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• Circles ${{(x+a)}^{2}}+{{(y+b)}^{2}}={{a}^{2}}$ and ${{(x+\alpha )}^{2}}$ $+{{(y+\beta )}^{2}}=$ ${{\beta }^{2}}$ cut orthogonally, if

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• Circle ${{x}^{2}}+{{y}^{2}}-4x-8y-5=0$ will intersect the line $3x-4y=m$ in two distinct points, if

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• The point of contact of the given circles ${{x}^{2}}+{{y}^{2}}-6x-6y+10=0$ and ${{x}^{2}}+{{y}^{2}}=2$ , is

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