Question 2 :
The centre of the circle given by $\mathbf { r } \cdot ( \mathbf { i } + 2 \mathbf { j } + 2 \mathbf { k } ) = 15 \text { and } | \mathbf { r } - ( \mathbf { j } + 2 \mathbf { k } ) | = 4 ,$
Question 3 :
If the lines $3x - 4y - 7 = 0$ and $2s - 3y - 5 = 0$ are two diameters of a circle of area $49\pi$ square units, the equation of the circle is-
Question 5 :
Find the equation of a circle with center $(0, 0)$ and radius $5$.<br/>
Question 7 :
The length of the diameter of the circle ${x^2} + {y^2} - 4x - 6y + 4 = 0$
Question 8 :
The equation ${ x }^{ 2 }+{ y }^{ 2 }=9$ meets x-axis at 
Question 9 :
The radius of the circle with center (0,0) and which passes through (-6,8) is
Question 10 :
The radius of the circle centred at $(4,5)$ and passing through the centre of the circle ${x}^{2}+{y}^{2}+4x+6y-12=0$ is
Question 11 :
A parabola with axis parallel to $x$ axis passes through $(0, 0), (2, 1), (4, -1).$ Its length of latus rectum is<br/>
Question 12 :
The equation of the circle having normal at $(3, 3)$ as $y = x$ and passing through $(2, 2)$ is:
Question 13 :
State whether following statements are true or falseStatement-1 : The only circle having radius $\sqrt {10}$ and a diameter along line $2x + y=5$ is $x^2 + y^2 - 6x + 2y=0$.<br/>Statement-2: The line 2x + y=5 is a normal to the circle $x^2+ y^2 - 6x + 2y =0.$
Question 14 :
Coordinates of centre and radius of the circle $(x-3)^2+(y+4)^2=25$ are respectively<br/>
Question 15 :
A circle of radius $5$ units passes through the points $(7,1),(9,5)$. If the ordinate of the centre is less than $2$, then the equation of the circle is<br/>
Question 16 :
If $x=2+3\cos\theta$ and $y=1-3\sin\theta$ represent a circle then the centre and radius is?
Question 17 :
A circle touches the y-axis at $(0, 2)$ and has an intercept of $4$ units on the positive side of the x-axis. Then the equation of the circle is?
Question 18 :
The curve described parametrically by$x = {t^2} + t + 1$ and $y = {t^2} - t + 1$ represents
Question 19 :
If $16{m}^{2}-8l-1=0,$ then equation of the circle having $lx+my+1=0$ is a tangent is
