Two circles, each of radius 5 have a common tangent at (1,1), whose equation is `4x+3y-7=0`, show that the centres are (5,4) and (-3,-2).

If a circle C_(1),x^(2)+y^(2)=16 intersects another circle C_(2) of radius 5 in such a manner that the common chord is maximum length and has slope 3/4 , then show the centres of C_(2) are (9/5,(-12)/5),((-9)/5,12/5)

The equation of the circle which has a radius 5 and tangent as the line 3x-4y+5=0 at (1,2) is

Find the equation of circle with centre (1, 4) and radius '5'

If the line x+3y=0 is tangent at (0,0) to the circle of radius 1, then the centre of one such circle is

(i) Fid the equation of the circle passing through the origin and having the centre at (-4,-3). (ii) Find the equation of the circle passing through (-2,3) and having centre at (0,0). (iii) Find the equztion of the circle passsing through (3,4) and having the centre at (-3,4). br> (iv) Find the equation of the circle whose centre is (-1,2) and whcih passes through (5,6).

The equation of the circle with radius 4 and centres as the midpoint of (1,4), (-3,2) is

The equation of the tangent at (1, 1) to the circle 2x^(2)+2y^(2)-2x-5y+3=0 is

The equation of the circle passing through (-7, 1) and having centre at (-4, -3) is