Question 1 :
For parabola, $3y^2=16x$, focus and end points of latus rectum are :
Question 2 :
The equation of the circle passing through $(3, 6)$ and whose centre is $(2, -1)$ is
Question 3 :
Circles are described on the major axis and the line joining the foci of the ellipse $3x^{2}+2y^{2}=6$ as diameters. Then the radii of the circles are in the ratio: <br/>
Question 5 :
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 6 :
Find the value of a if $y^2=4ax $ pases through $(8,8)$
Question 7 :
For what value of $k$, does the equation $9{x^2} + {y^2} = k\left( {{x^2} - {y^2} - 2x} \right)$ represents equation of a circle?
Question 8 :
The circle with radius $1$ and centre being foot of the perpendicular from $(5, 4)$ on y-axis, is?
Question 9 :
Assertion: If the equation of a circle is $(x+1)^2+(y-1)^2=4$, then its radius is 4.
Reason: Equation of a circle with radius r is given by, $(x-a)^2 + (y-b)^2=r^2$.
Question 10 :
Fo parabola $3y^2=16x$, equation of directrix and length of latus rectum is
Question 11 :
State the following statement is True or FalseIf a quadratic function $f(x)=ax^2+bx+c$ has a downward parabola then $a > 0$.
Question 12 :
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 13 :
Which of the following equations of a circle has center at (1, -3) and radius of 5?
Question 14 :
The radius of the circle with center (0,0) and which passes through (-6,8) is
Question 15 :
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 16 :
The equation of the ellipse whose foci are $(\pm5,0)$ and of the directrix is $5x=36$, is
Question 17 :
Find the equation of a circle with center $(0, 0)$ and radius $5$.<br/>
Question 18 :
Find the equation of the circle passing through the origin and centre lies on the pointof intersection of the lines $2x+y=3$ and $3x+2y=5$.
Question 19 :
The equation ${ x }^{ 2 }+{ y }^{ 2 }=9$ meets x-axis at 
Question 20 :
Equation of the circle with centre on y-axis and passing through the points $(1,0),(1,1)$ is: