R D Sharma Solutions for Chapter: The Circle, Exercise 5: MULTIPLE CHOICE QUESTIONS (MCQs)

The equation of the incircle formed by the coordinate axes and the line $4x+3y=6$ is

If the circles $x^2+y^2=9$ and $x^2+y^2+8y+c=0$ touch each other, then $c$ is equal to

If the circle $x^2+y^2+2ax+8y+16=0$ touches $x$ -axis, then the value of $a$ is

The equation of a circle with radius $5$ and touching both the coordinate axes is

If $\left(-3,2\right)$ lies on the circle $x^2+y^2+2gx+2fy+c=0$ which is concentric with the circle $x^2+y^2+6x+8y-5=0$, then $c=$

Equation of the diameter of the circle $x^2+y^2-2x+4y=0$ which passes through the origin is

Equation of the circle through origin which cuts intercepts of length $a$ and $b$ on axes is

If the circles $x^2+y^2+2ax+c=0$ and $x^2+y^2+2by+c=0$ touch each other, then