Conic Sections
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
Asked 4 times: 20 Apr 2025 S1*, 13 Apr 2026 S1*, 12 May 2026 S1*, 19 May 2026 S1 (* = numbers or wording changed that year) See all 4 times it was asked
63The area (in sq.units) of a triangle formed by joining the vertex and the endpoints of the latus rectum of the parabola is...Tap an option to check your answer.
Question 2
This type asked 4 times: 22 Apr 2025 S1, 26 Apr 2025 S2, 17 Apr 2026 S1, 19 Apr 2026 S1. This one: 19 Apr 2026 S1 See all 4 of this type
59A tangent having slope to the ellipse intersects the X-axis and Y-axis at the points A and B respectively. if O is the origin, then the area of is ...Tap an option to check your answer.
Question 3
This type asked 3 times: 15 May 2023 S1, 22 Apr 2025 S1, 15 May 2026 S1. This one: 15 May 2026 S1 See all 3 of this type
59The tangent to the parabola at point P makes an angle of with the X-axis, then the coordinates of P are:Tap an option to check your answer.
Question 4
This type asked 3 times: 16 Apr 2026 S1, 17 Apr 2026 S2, 14 May 2026 S1. This one: 14 May 2026 S1 See all 3 of this type
60If the line is tangent to the hyperbola , thenTap an option to check your answer.
Question 5
Asked 2 times: 19 Apr 2025 S1, 13 May 2026 S1 See all 2 times it was asked
61In an ellipse with semi-minor axis OB, S and S' are its foci, and is a right angle, then the eccentricity of the ellipse is..Tap an option to check your answer.
Question 6
This type asked 2 times: 21 Apr 2025 S1, 19 May 2026 S2. This one: 19 May 2026 S2 See all 2 of this type
56The equation of the common tangent to the parabolas and is ...Tap an option to check your answer.
Question 7
This type asked 2 times: 26 Apr 2025 S1, 15 May 2026 S2. This one: 15 May 2026 S2 See all 2 of this type
62The equation of the directrix of the parabola is...Tap an option to check your answer.
Question 8
This type asked 2 times: 19 Apr 2025 S2, 19 Apr 2026 S2. This one: 19 Apr 2026 S2 See all 2 of this type
58The eccentricity of the ellipse represented by the equation is...Tap an option to check your answer.
Question 9
This type asked 2 times: 12 May 2024 S2, 19 Apr 2025 S2. This one: 19 Apr 2025 S2 See all 2 of this type
150If two curves and are orthogonal to each other thenTap an option to check your answer.
Question 10
Asked once: 17 Apr 2026 S1 (same type asked 4 times) See all 4 of this type
59The equations of the tangents to the ellipse making an inclination of with the major axis areTap an option to check your answer.