Line and circle

JEE Main Mathematics · Circle · 4 questions, latest first

• Consider the circle C: x^2+y^2-6 x-8 y-11=0. Let a variable chord AB of the circle C subtend a right angle at the origin. If the…20268 April, Shift 2 · Q24
• Let P(3 cos α, 2 sin α), α ≠ 0, be a point on the ellipse x^2/9+y^2/4=1, Q be a point on the circle x^2+y^2-14 x-14 y+82=0 and R…20264 April, Shift 2 · Q10
• Let a circle pass through the origin and its centre be the point of intersection of two mutually perpendicular lines x+(k-1)…20262 April, Shift 2 · Q10
• Two circles in the first quadrant of radii r_1 and r_2 touch the coordinate axes. Each of them cuts off an intercept of 2 units…202312 April, Shift 1 · Q28