20 JEE Main 2023 Circle previous-year questions with verified answers and step-by-step solutions.
These are the JEE Main 2023 previous-year questions from the Circle chapter of Mathematics. Each links to a full solution with a verified answer key. To see the whole chapter across all years, visit the Circle chapter hub.
If the tangents at the points P and Q on the circle x 2 + y 2 - 2 x + y = 5 meet at the point R 9 4 ,   2 , then t…
Let A be the point 1 , 2 and B be any point on the curve x 2 + y 2 = 16 . If the centre of the locus of the point P , w…
Let the tangents at the points A ( 4 , - 11 ) and B ( 8 , - 5 ) on the circle x 2 + y 2 - 3 x + 10 y - 15 = 0 , interse…
Let y = x + 2 ,   4 y = 3 x + 6 and 3 y = 4 x + 1 be three tangent lines to the circle ( x - h ) 2 + ( y - k ) 2 =…
Consider ellipses E k : k x 2 + k 2 y 2 = 1 , k = 1 , 2 , … , 20 . Let C k be the circle which touches the four c…
Let the centre of a circle C be α ,   β and its radius r   <   8 . Let 3 x + 4 y = 24 and…
Points P - 3 , 2 , Q 9 , 10 and R α , 4 lie on a circle C with P R as its diameter. The tangents to C at the point…
A circle with centre ( 2 , 3 ) and radius 4 intersects the line x + y = 3 at the points P and Q . If the tangents at P…
A circle passing through the point P α , β in the first quadrant touches the two coordinate axes at the point…
Let P a 1 ,   b 1 and Q a 2 ,   b 2 be two distinct points on a circle with center C ( 2 , 3 ) . Let O be the…
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