JEE Advance - Mathematics (1993 - No. 5)
Find the coordinates of the point at which the circles $${x^2}\, + \,{y^2} - \,4x - \,2y = - 4\,\,and\,\,{x^2}\, + \,{y^2} - \,12x - \,8y = - 36$$ touch each other. Also find equations common tangests touching the circles in the distinct points.
((-14/5, -8/5), y = 0, 7y - 24x + 16 = 0)
((14/5, 8/5), x = 0, 7y - 24x + 16 = 0)
((-14/5, 8/5), y = 0, 7y + 24x + 16 = 0)
((14/5, 8/5), y = 0, 7y - 24x + 16 = 0)
((14/5, -8/5), y = 0, 7y - 24x - 16 = 0)