Find the area (in square units of the circle which touches the lines `4x + 3y = 15 and 4x+3y = 5`.

2x+y=0 is the equation of a diameter of the circle which touches the lines 4x-3y+10=0 and 4x-3y-30=0 The centre and radius of the circle are

Find the equation of the circle which touches the lines 4x-3y+10=0 and 4x-3y-30=0 and whose centre lies on the line 2x+y=0 .

What is the area (in square units) of the figure enclosed by the graphs of the lines x = −4, x = 2,y = −2 and y = 3?

Find the radius of a circle which touches two lines 3x-4y-6=0 and 6x-8y+1=0.

From a point P , tangents drawn to the circle x^2 + y^2 + x-3=0, 3x^2 + 3y^2 - 5x+3y=0 and 4x^2 + 4y^2 + 8x+7y+9=0 are of equal lengths. Find the equation of the circle through P , which touches the line x+y=5 at the point (6, -1) .

The number of circles which touches the three lines 2x-3y+4=0 ,x+y-5=0 and 6x-9y+7=0 is

Find the equation of the circle with centre on the line 2x + y = 0 and touching the line 4x - 3y + 10-0, 4x - 3y = 30 .