# Circle · Mathematics · AP EAPCET

Start Practice## MCQ (Single Correct Answer)

AP EAPCET 2021 - 20th August Morning Shift

The locus of a point, which is at a distance of 4 units from $$(3,-2)$$ in $$x y$$-plane is

AP EAPCET 2021 - 20th August Morning Shift

Find the equation of the circle which passes through origin and cuts off the intercepts $$-$$2 and 3 over the $$X$$ and $$Y$$-axes respectively....

AP EAPCET 2021 - 20th August Morning Shift

The angle between the pair of tangents drawn from $$(1,1)$$ to the circle $$x^2+y^2+4 x+4 y-1=0$$ is

AP EAPCET 2021 - 20th August Morning Shift

If the circle $$x^2+y^2-4 x-8 y-5=0$$ intersects the line $$3 x-4 y-m=0$$ in two distinct points, then the number of integral values of '$$m$$' is...

AP EAPCET 2021 - 20th August Morning Shift

Let $$C$$ be the circle center $$(0,0)$$ and radius 3 units. The equation of the locus of the mid-points of the chords of the circle $$c$$ that subten...

AP EAPCET 2021 - 20th August Morning Shift

The length of the common chord of the circles $$x^2+y^2+3x+5y+4=0$$ and $$x^2+y^2+5x+3y+4=0$$ is __________ units.

AP EAPCET 2021 - 20th August Morning Shift

Find the equation of the circle which passes through the point $$(1,2)$$ and the points of intersection of the circles $$x^2+y^2-8 x-6 y+21=0$$ and $$...

AP EAPCET 2021 - 19th August Evening Shift

Given, two fixed points $$A(-2,1)$$ and $$B(3,0)$$.
Find the locus of a point $$P$$ which moves such that the angle $$\angle A P B$$ is always a right...

AP EAPCET 2021 - 19th August Evening Shift

The equations of the tangents to the circle $$x^2+y^2=4$$ drawn from the point $$(4,0)$$ are

AP EAPCET 2021 - 19th August Evening Shift

If $$P(-9,-1)$$ is a point on the circle $$x^2+y^2+4 x+8 y-38=0$$, then find equation of the tangent drawn at the other end of the diameter drawn thro...

AP EAPCET 2021 - 19th August Evening Shift

Find the equation of a circle whose radius is 5 units and passes through two points on the $$X$$-axis, which are at a distance of 4 units from the ori...

AP EAPCET 2021 - 19th August Evening Shift

If a foot of the normal from the point $$(4,3)$$ to a circle is $$(2,1)$$ and $$2 x-y-2=0$$, is a diameter of the circle, then the equation of circle ...

AP EAPCET 2021 - 19th August Evening Shift

The length of the tangent from any point on the circle $$(x-3)^2+(y+2)^2=5 r^2$$ to the circle $$(x-3)^2+(y+2)^2=r^2$$ is 16 units, then the area betw...

AP EAPCET 2021 - 19th August Evening Shift

The equation of the circle, which cuts orthogonally each of the three circles
$$\begin{aligned}
& x^2+y^2-2 x+3 y-7=0, \\
& x^2+y^2+5 x-5 y+9=0 \text ...

AP EAPCET 2021 - 19th August Morning Shift

Find the equations of the tangents drawn to the circle $$x^2+y^2=50$$ at the points where the line $$x+7=0$$ meets it.

AP EAPCET 2021 - 19th August Morning Shift

If the chord of contact of tangents from a point on the circle $$x^2+y^2=r_1^2$$ to the circle $$x^2+y^2=r_2^2$$ touches the circle $$x^2+y^2=r_3^2$$,...

AP EAPCET 2021 - 19th August Morning Shift

Find the equation of the circle passing through $$(1,-2)$$ and touching the $$X$$-axis at $$(3,0)$$.

AP EAPCET 2021 - 19th August Morning Shift

Let $$L_1$$ be a straight line passing through the origin and $$L_2$$ be the straight line $$x+y=1$$. If the intercepts made by the circle $$x^2+y^2-x...

AP EAPCET 2021 - 19th August Morning Shift

The radius of the circle whose center lies at $$(1,2)$$ while cutting the circle $$x^2+y^2+4 x+16 y-30=0$$ orthogonally, is units.

AP EAPCET 2021 - 19th August Morning Shift

The point which has the same power with respect to each of the circles $$x^2+y^2-8 x+40=0, x^2+y^2-5 x+16=0$$ and $$x^2+y^2-8 x+16 y+160=0$$ is