Question 1 :
The equation ${ x }^{ 2 }+{ y }^{ 2 }=9$ meets x-axis at 
Question 3 :
The equation to the circle with centre $(2,1)$ and touches the line $3x+4y-5$ is ?<br/>
Question 4 :
The length of the diameter of the circle ${x^2} + {y^2} - 4x - 6y + 4 = 0$
Question 5 :
The lines $2x-3y=5$ and $3x-4y=7$ are the diameters of a circle of area $154$ sq.units. The equation of the circle is
Question 6 :
$(a, c)$ and $(b, c)$ are the centres of two circles whose radical axis is the y-axis. If the radius of first circle is $r$ then the diameter of the other circle is 
Question 7 :
The length of the diameter of the circle which touches the $x-$axis at the point $(1,0)$ and passes through the point $(2,3)$
Question 8 :
The equation of the circle having $x-y-2=0$ and $x-y+2=0$ as two tangents and $x-y=0$ as diameter is
Question 9 :
From the point $A\left(0,3\right)$ on the circle ${x}^{2}-4x+{\left(y-3\right)}^{2}=0$ a chord $AB$ is drawn and extended to a point $M$ such that $AM=2AB$.The locus is
Question 10 :
The centre of a circle is $(2, -3)$ and the circumference is $10\pi$. Then, the equation of the circle is
Question 11 :
Find the equation of the circle with center at $(-3,5)$ and passes through the point $(5,-1)$
Question 12 :
The radius of the circle $x^{2} + y^{2} + 4x + 6y + 13 = 0$ is
Question 13 :
The equation of the circle passing through the points $(4, 1), (6, 5)$ and having the centre on the line $4x+y-16=0$ is