Question 1 :
The equation to the circle with centre $(2,1)$ and touches the line $3x+4y-5$ is ?<br/>
Question 2 :
The intercept on the line $y=x$ by the circle ${ x }^{ 2 }+{ y }^{ 2 }-2x=0$ is $AB$. Equation of the circle with $AB$ as a diameter is
Question 3 :
The equation ${ x }^{ 2 }+{ y }^{ 2 }=9$ meets x-axis at 
Question 4 :
The equation of the circle passing through $(3, 6)$ and whose centre is $(2, -1)$ is
Question 6 :
State whether the following statements are true or false.<br/>The equation $x^{2}+y^{2} + 2x -10y + 30 = 0$ represents the equation of a circle.<br/>
Question 7 :
The circle with radius $1$ and centre being foot of the perpendicular from $(5, 4)$ on y-axis, is?
Question 8 :
Find the equation of the circle passing through the origin and centre lies on the point of intersection of the lines $2x+y=3$ and $3x+2y=5$.
Question 9 :
Equation of the circle with centre on y-axis and passing through the points $(1,0),(1,1)$ is:
Question 10 :
A circle has a diameter whose ends are at (-3, 2) and (12, -6) Its Equation is
Question 11 :
A circle with center $(3, 8)$ contains the point $(2, -1)$. Another point on the circle is:
Question 12 :
lf the lines $2x-3y=5$ and $3x-4y=7$ are two diameters of a circle of radius $7$ then the equation of the circle is<br/>
Question 13 :
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 14 :
The lines $2x-3y=5$ and $3x-4y=7$ are diameters of a circle of area $154\ sq.\ units$. The equation of the circle is-
Question 16 :
The centre of a circle is $(2, -3)$ and the circumference is $10\pi$. Then, the equation of the circle is
Question 18 :
If $16{m}^{2}-8l-1=0,$ then equation of the circle having $lx+my+1=0$ is a tangent is
Question 19 :
The graph of the curve $x^2 + y^2 - 2xy - 8x - 8y + 32 = 0$ falls wholly in the
Question 20 :
A circle touches the $x$-axis and also touches the circle with centre $(0, 3)$ and radius $2$. The locus of the centre of the circle is -