Find the equations of the circles passing through the point `(-4,3)` and touching the lines `x+y=2` and `x-y=2`

Find the equation of the circle passing through the point (2, 8), touching the lines 4x-3y-24=0 and 4x+3y-42=0 andhaving x-coordinate of the centre of the circle numerically less than or equal to 8.

Find the equation of the circle passing through the point ( 2, 3) and touching the line 2x+3y=4 at the point ( 2, 0)

Find the equation of the circle passing through the points A(4,3). B(2,5) and touching the axis of y. Also find the point P on the y-axis such that the angle APB has largest magnitude.

Find the equation of circle passing through the points (1,-2) and (3,-4) and touches the X-axis.

Find the equation of the circle passing through (-1,0) and touching x+ y-7 = 0 at (3,4)

Find the gradient of the line passing through the point (2,8) and touching the curve y=x^3.

Find the equations of the lines passing through the point (4,5) parallel to lines 3x=4y+7 .

Find the equation of the circle passing through the point of intersection of the lines x+3y=0\ a n d\ 2x-7y=0 and whose centre is the point of intersection of the lines x+y+1=0\ a n d\ x-2y+4=0.

Find the equation of a line passing through the point (2,3) and parallel to the line 3x-4y+5=0 .

Find the equation of circle passing through the point (2,3) and (-1,1) and whose centre is on the line x - 3y - 11 = 0