Embibe Experts Solutions for Chapter: Circle, Exercise 1: AP EAPCET - 20 Aug 2021 Afternoon

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 origin.

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

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

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

If the power of the point $(1,6)$ with respect to the circle $x^2+y^2+4x-6y-a=0$ is $-16$ then ${}^{\text{'}}a^{\text{'}}$ equals

The equation of the circle, which cuts orthogonally each of the three circles $x^2+y^2-2x+$$3y-7=0,x^2+y^2+5x-5y+9=0$ and $x^2+y^2+7x-9y+29=0$

The equation of radical axis of the circles $x^2+y^2+4x+6y+7=0$ and $4x^2+4y^2+8x+$ $12 y-9=0$ is

The radical axis of the circles $S_1:x^2+y^2-4x+6y-10=0$ and $S_2:x^2+y^2+2x-6y+2=0$ cut the circle $S_1$ in