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MAH-CET 2025 Mathematics PYQ — The equation of ellipse is given , with the center at the origin … | Mathem Solvex | Mathem Solvex

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MAH-CET 2025 — Mathematics PYQ

MAH-CET | Mathematics | 2025

The equation of ellipse is given $3 x^{2} + 5 y^{2} = 32$ , with the center at the origin and x-axis as the major axis. Which of the following points lies on the ellipse?

Choose the correct answer:

A.
(-3,1) and (2,-2)
(Correct Answer)
B.
(3,-2) and (1,-1)
C.
(-2,3) and (2,2)
D.
(3,1) and (-2,3)

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TopicAll "Conic Sections" PYQs →SubjectMore Mathematics Questions →YearMAH-CET 2025 Paper →All MAH-CET Questions →📄 Download MAH-CET PYQ Papers →📝 Preparation Tips & Articles →

Correct Answer:

(-3,1) and (2,-2)

Explanation

1. Point (-3, 1) ke liye check:

Yahan $x = -3$ aur $y = 1$ rakhte hain:

3(-3)^2 + 5(1)^2 = 32

3(9) + 5(1) = 32

27 + 5 = 32

32 = 32

Kyunki LHS = RHS hai, isliye point $(-3, 1)$ ellipse par lies karta hai.

2. Point (2, -2) ke liye check:

Yahan $x = 2$ aur $y = -2$ rakhte hain:

3(2)^2 + 5(-2)^2 = 32

3(4) + 5(4) = 32

12 + 20 = 32

32 = 32

Kyunki LHS = RHS hai, isliye point $(2, -2)$ bhi ellipse par lies karta hai.