JEE Main 2022 — Circle Questions with Solutions

The set of values of k for which the circle C : 4 x 2 + 4 y 2 - 12 x + 8 y + k = 0 lies inside the fourth quadrant and…

A point P moves so that the sum of squares of its distances from the points 1 , 2 and - 2 , 1 is 14 . Let f x , y = 0 b…

If the tangents drawn at the point O 0 , 0 and P 1 + 5 , 2 on the circle x 2 + y 2 - 2 x - 4 y = 0 intersect at the poi…

Let C be a circle passing through the points A 2 , - 1 and B 3 , 4 . The line segment A B is not a diameter of C . If r…

Let the tangents at two points A and B on the circle x 2 + y 2 - 4 x + 3 = 0 meet at origin O 0 , 0 . Then the area of…

Let the locus of the centre α , β ,   β > 0 , of the circle which touches the circle x 2 + y -…

Let a circle C : x - h 2 + y - k 2 = r 2 , k > 0 , touch the x -axis at 1 , 0 . If the line x + y = 0 intersects th…

A circle C 1 passes through the origin O and has diameter 4 on the positive x -axis. The line y = 2 x gives a chord O A…

Let a triangle A B C be inscribed in the circle x 2 - 2 x + y + y 2 = 0 such that ∠ B A C = π 2 . If the len…

Let a line L pass through the point of intersection of the lines b x + 10 y - 8 = 0 and 2 x - 3 y = 0 , b ∈ R - 4…