M L Aggarwal Solutions for Chapter: Circles, Exercise 1: EXERCISE

Find the centre, radius and the equation of the circle drawn on the line segment joining the points $\left(-1,2\right)$ and $\left(3,-4\right)$ as diameter.

Find the equation of a circle which passes through origin and cuts off intercepts $a$ and $b$ on the coordinate axes.

Find the equation of the circle drawn on the intercept made by the line $3x+4y=12$ between the coordinates axes as diameter.

$A\left(1,0\right)$ and $B\left(7,0\right)$ are two points on the axis of $x$. A point $P$ is taken in the first quadrant such that $PAB$ is an isosceles triangle and $PA=PB=5$ units. Find the equation of the circle described on $PA$ as diameter.

Find the equation of the circle circumscribing square $ABCD$ with side $l$ unit and $AB$ and $AD$ as coordinate axes.

Find the equation of the circle drawn on a  diagonal of the rectangle as its diameter whose sides are the lines given by $x=4, x=-2, y=5$ and $y=-2$

Find the equation of the circle drawn on a  diagonal of the rectangle as its diameter whose sides are the lines given by $x=5, x=8, y=4$ and $y=7$.

Find the equation of the circle circumscribing the rectangle formed by the lines $x=6. x=-3, y=3, y=-1$.