Embibe Experts Solutions for Chapter: Circle, Exercise 1: Exercise 1

If the circle $x^2+y^2=9$ touches the circle $x^2+y^2+6y+c=0$, then $c$ is equal to

A circle is drawn touching the $x$-axis and centre at the point which is the reflection of $\left(a,b\right)$ in the line $y-x=0$. The equation of the circle is

Equation of the circle which touches the coordinate axes and passes through the point $(2,1)$ is

Equation of tangent to the circle $x^2+y^2-6x+4y-12=0$ which are parallel to the line $4x+3y+5=0$ is

The tangent from the point of intersection of the lines $2x-3y+1=0$ and $3x-2y-1=0$ to the circle $x^2+y^2+2x-4y=0$ is

Equation of the circle whose centre is on the line $x=2 y$ and which passes through the points $(-1,2)$ and $(3,-2)$ is

Point on the straight line $x-y+1=0,$ the tangents from which to the circle $x^2+y^2-3x=0$ are of length $2$ unit is

Consider three circles $x^2+y^2=1, x^2+y^2-8x+15=0, x^2+y^2+10y+24=0.$ The point from which tangents of equal length can be drawn to all these three circles is