JEE Main 2026 — Circle Questions with Solutions

If the points of intersection of the ellipses x²+2 y²-6 x-12 y+23=0 and 4 x²+2 y²-20 x-12 y+35=0 lie on a circle of rad…

Let P be a moving point on the circle x² + y² - 6x - 8y + 21 = 0. Then, the maximum distance of P from the vertex of th…

Let a circle C have its centre in the first quadrant, intersect the coordinate axes at exactly three points and cut off…

Let y=x be the equation of a chord of the circle C₁ (in the closed half-plane x ≥ 0) of diameter 10 passing through the…

Let a circle of radius 4 pass through the origin O, the points A(-√(3) a, 0) and B(0,-√(2) b), where a and b are real p…

Let the centre of the circle x² + y² + 2gx + 2fy + 25 = 0 be in the first quadrant and lie on the line 2x - y = 4. Let…

Let a circle pass through the origin and its centre be the point of intersection of two mutually perpendicular lines x…

Let the circle x²+y²=4 intersect x-axis at the points A(a, 0), a>0 and B(b, 0). Let P(2 α, 2 α), 0<α<(π)/(2) and Q(2 β,…

Let the set of all values of r, for which the circles (x+1)²+(y+4)²=r² and x²+y²-4 x-2 y-4=0 intersect at two distinct…

If P is a point on the circle x²+y²=4, Q is a point on the straight line 5 x+y+2=0 and x-y+1=0 is the perpendicular bis…