#iitjee #iitjeeadvanced1988 #iitjeeadvancedpaper #jeeadvancedsolution #circles #thecircle #jee1988 #jee_papers_with_solution Question: If the circle C1: x² + y² = 16 intersects another circle C2 of radius 5 in such a manner that the common chord is of maximum length and has a slope equal to 3/4, then coordinates of the center of C2 are...{IIT JEE 1988, Integer/Fill in the blanks type}. Answer: The coordinates of the center of C2 are (-9/5, 12/5) and (9/5, -12/5). Note: The concept of the Family of circles is used to find the final answer to this question. #11 IIT JEE Main & Advanced Previous Years Problems with Solutions | Circles | JEE 1988 Integer Type.