Questions in circle

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The equation of normal to the circle $2{{x}^{2}}+2{{y}^{2}}-2x-5y+3=0$ at (1, 1) is
The square of the length of the tangent from (3, –4) on the circle ${{x}^{2}}+{{y}^{2}}-4x-6y+3=0$ is
The condition that the line $x\cos \alpha +y\sin \alpha =p$ may touch the circle ${{x}^{2}}+{{y}^{2}}={{a}^{2}}$ is
The line $3x-2y=k$ meets the circle ${{x}^{2}}+{{y}^{2}}=4{{r}^{2}}$ at only one point, if ${{k}^{2}}$ =
If $5x-12y+10=0$ and $12y-5x+16=0$ are two tangents to a circle, then the radius of the circle is
The area of the triangle formed by the tangent at (3, 4) to the circle ${{x}^{2}}+{{y}^{2}}=25$ and the co-ordinate axes is
The value of c, for which the line $y=2x+c$ is a tangent to the circle ${{x}^{2}}+{{y}^{2}}=16$ , is
The equations of the tangents to circle $5{{x}^{2}}+5{{y}^{2}}=1$ , parallel to line $3x+4y=1$ are
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
If $\frac{x}{\alpha }+\frac{y}{\beta }=1$ touches the circle ${{x}^{2}}+{{y}^{2}}={{a}^{2}}$ , then point $(1/\alpha ,\,1/\beta )$ lies on a/an

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