Recent questions tagged circle

In the figure below $P$ and $Q$ are the centres of the circle and $PQ =9 $. What is the area of the shaded region ?

asked Apr 27, 2019 by priyanka.clay6

1 answer

What is the area in square inches of a circle with diameter $5 \pi^2$ inches ?

asked Apr 27, 2019 by priyanka.clay6

1 answer

Show that the point $(x,y)$ given by $x=\large\frac{2at}{1+t^2}$ and $y=\large\frac{a(1-t^2)}{1+t^2}$ lies on a circle for all real values of $t$ such that $-1\leq t \leq 1$ where $a$ is any given real numbers.

asked Oct 17, 2014 by sreemathi.v

1 answer

The equation of a circle with origin as centre and passing through the vertices of an equilateral triangle whose median is of length $3a$ is

asked Oct 16, 2014 by sreemathi.v

1 answer

Equation of the circle with centre on the $y$-axis and passing through the origin and the point $(2,3)$ is

asked Oct 16, 2014 by sreemathi.v

1 answer

Equation of a circle which passes through $(3,6)$ and touches the axes is

asked Oct 16, 2014 by sreemathi.v

1 answer

The area of the circle centred at $(1,2)$ and passing through $(4,6)$ is

asked Oct 16, 2014 by sreemathi.v

1 answer

The equation of the circle circumscribing the triangle whose sides are the lines $y=x+2,3y=4x,2y=3x$ is _____________

asked Oct 15, 2014 by sreemathi.v

1 answer

The equation of the circle having centre at $(3,-4)$ and touching the line $5x+12y-12=0$ is __________

asked Oct 15, 2014 by sreemathi.v

1 answer

State whether the following statement is True or False : The point $(1,2)$ lies inside the circle $x^2+y^2-2x+6y+1=0$.

asked Oct 15, 2014 by sreemathi.v

1 answer

State whether the following statement is True or False: If the line $lx+my=1$ is a tangent to the circle $x^2+y^2=a^2$,then the point $(l,m)$ lies on a circle.

asked Oct 15, 2014 by sreemathi.v

1 answer

State whether the following statement is True or False:The shortest distance from the point $(2,-7)$ to the circle $x^2+y^2-14x-10y-151=0$ is equal to $5$.

asked Oct 15, 2014 by sreemathi.v

1 answer

State whether the following statement is True or False: The line $x+3y=0$ is a diameter of the circle $x^2+y^2+6x+2y=0$.

asked Oct 15, 2014 by sreemathi.v

1 answer

Find the equation of a circle passing through the point $(7,3)$ having radius $3$ units and whose centre lies on the line $y=x-1$.

asked Oct 14, 2014 by sreemathi.v

1 answer

Find the equation of a circle of radius 5 which is touching another circle $x^2+y^2-2x-4y-20=0$ at $(5,5)$.

asked Oct 14, 2014 by sreemathi.v

1 answer

Find the equation of a circle whose centre $(3,-1)$ and which cuts off a chord of length $6$ units on the line $2x-5y+18=0$.

asked Oct 13, 2014 by sreemathi.v

1 answer

Find the equation of the circle which passes through the points $(2,3)$ and $(4,5)$ and the centre lies on the straight line $y-4x+3=0$.

asked Oct 13, 2014 by sreemathi.v

1 answer

If the lines $2x-3y=5$ and $3x-4y=7$ are the diameters of a circle of area 154 square units,then obtain the equation of the circle.

asked Oct 13, 2014 by sreemathi.v

1 answer

Find the equation of a circle concentric with the circle $x^2+y^2-6x+12y+15=0$ and has double of its area.

asked Oct 9, 2014 by sreemathi.v

1 answer

If the line $y=\sqrt 3x+k$ touches the circle $x^2+y^2=16$,then find the value of $k$.

asked Oct 8, 2014 by sreemathi.v

1 answer

Find the equation of the circle having $(1,-2)$ as its centre and passing through $3x+y=14,2x+5y=18$.

asked Oct 8, 2014 by sreemathi.v

1 answer

If one end of a diameter of the circle $x^2+y^2-4x-6y+11=0$ is $(3,4)$,then find the coordinate of the other end of the diameter.

asked Oct 8, 2014 by sreemathi.v

1 answer