Circle through three points

JEE Main Mathematics · Circle · 3 questions, latest first

• If the four distinct points (4,6),(-1,5),(0,0) and (k, 3 k) lie on a circle of radius r, then 10 k+r^2 is equal to20253 April, Shift 2 · Q11
• Let the parabola y=x^2+p x-3, meet the coordinate axes at the points P, Q and R. If the circle C with centre at (-1, -1) passes…202522 January, Shift 1 · Q12
• Four distinct points (2 k, 3 k),(1,0),(0,1) and (0,0) lie on a circle for k equal to:202427 January, Shift 1 · Q14