Embibe Experts Solutions for Exercise 2: EXERCISE 12.2

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

Equation of the circle which is such that the lengths of the tangents to it from the points $(1, 0), (0, 2)$ and $(3, 2)$ are $1, \sqrt{7}$ and $\sqrt{2}$ respectively is

Equation of a circle passing through the point $(1, 2)$ and $(3, 4)$ and touching the line $3x+y-3=0$ is

Point of contact of line $y=x+4\sqrt{2}$ to the circle $x^2+y^2=16$ 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

Equation of normal drawn from point $(6, 8)$ to circle $x^2+y^2-4x-6y+3=0$ is

The length of tangent from any point on the circle $x^2+y^2-8x+5y-4=0$ to the circle $x^2+y^2-8x+5y=0$ is

Equation of circle whose centre is $(3, -1)$ and which cut off an intercept of length $6$ unit from the line $2x-5y+18=0$ is