Circle
MHT-CET Maths. Try each one first, then open its answer.
Top 10 MHT-CET PYQs to practise first
The questions and kinds of question asked most often come first. Each one says how often and in which papers.
Question 1
This type asked 5 times: 2 May 2023 S2, 9 May 2024 S1, 25 Apr 2025 S1, 26 Apr 2025 S2, 19 Apr 2026 S2. This one: 19 Apr 2026 S2 See all 5 of this type
56Let PA and PB be the tangent segments drawn from point to the circle with the centre at origin O. The radius of circle for which the area of quadrilateral PAOB is maximum, is...Tap an option to check your answer.
Question 2
This type asked 5 times: 3 May 2023 S1, 4 May 2023 S2, 9 May 2023 S2, 16 May 2023 S1, 13 Apr 2026 S2. This one: 13 Apr 2026 S2 See all 5 of this type
59The equation of the circle concentric with circle and which touches the line is ....Tap an option to check your answer.
Question 3
This type asked 4 times: 21 Apr 2025 S1, 26 Apr 2025 S1, 12 May 2026 S2, 15 May 2026 S2. This one: 15 May 2026 S2 See all 4 of this type
59The coordinates of the point on the curve which are nearest to the point are:Tap an option to check your answer.
Question 4
This type asked 4 times: 3 May 2023 S2, 19 Apr 2025 S2, 18 Apr 2026 S1, 13 May 2026 S2. This one: 13 May 2026 S2 See all 4 of this type
63If the tangent to the circle at point also touches the circle , thenTap an option to check your answer.
Question 5
This type asked 4 times: 11 May 2023 S2, 10 May 2024 S2, 12 May 2026 S1, 13 May 2026 S1. This one: 13 May 2026 S1 See all 4 of this type
60The Cartesian coordinates of a point P with parameter on the circle are...Tap an option to check your answer.
Question 6
This type asked 4 times: May 2021 S1, 15 May 2023 S1, 11 May 2024 S1, 19 Apr 2025 S1. This one: 19 Apr 2025 S1 See all 4 of this type
120The number of common tangents that can be drawn to the circles and is .Tap an option to check your answer.
Question 7
Asked 3 times: 11 May 2023 S2*, 10 May 2024 S2*, 12 May 2026 S1 (* = numbers or wording changed that year) See all 3 times it was asked
61The standard parametric equations of the circle are ...Tap an option to check your answer.
Question 8
Asked 3 times: 11 Apr 2026 S1, 17 Apr 2026 S1, 20 Apr 2026 S1 See all 3 times it was asked
60The equation of the circle which passes through the points and and whose centre lies on a straight line , isTap an option to check your answer.
Question 9
Asked 3 times: 2 May 2023 S2*, 9 May 2024 S1, 26 Apr 2025 S2 (* = numbers or wording changed that year) See all 3 times it was asked
130Two tangents to the circle at the points A and B meet at . Then the area of quadrilateral PAOB, where ' O ' is the origin isTap an option to check your answer.
Question 10
This type asked 3 times: 21 Apr 2025 S2, 15 Apr 2026 S2, 15 May 2026 S2. This one: 15 May 2026 S2 See all 3 of this type
60The angle between the tangents drawn from the point to the circle isTap an option to check your answer.