A circle touches both the x-axis and the...

A circle touches both the x-axis and the line `4x-3y+4=0`. Its centre is in the third quadrant and lies on the line `x-y-1=0`. Find the equation of the circle.

AI Generated Solution

Similar Questions

Explore conceptually related problems

The equation of the circle which touches both the axes and the line 4x+3y=6 in first quadrant and lies below it

If the line 2x-y+1=0 touches the circle at the point (2,5) and the centre of the circle lies in the line x+y-9=0. Find the equation of the circle.

Find the equation of the circle which touches both the axes and the line 3x-4y+8=0 and lies in the third quadrant.

Centres of circles touching both the axes and also the line 3x+4y-12=0 is

Find the equation of the circle which touches both the axes and the straight line 4x+3y=6 in the first quadrant and lies below it.

Equation of circles touching x-axis at the origin and the line 4x+3y+24=0 are

The line 4x+3y-4=0 divides the circumference of the circle centred at (5,3) in the ratio 1:2. Then the equation of the circle is

Find the equation of circle whose centre is the point (1,- 3) and touches the line 2x-y-4=0

The radius of the larger circle lying in the first quadrant and touching the line 4x+3y-12=0 and the coordinate axes, is