CUET PG 2025 — Mathematics PYQ

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Question

CUET PG 2025 — Mathematics PYQ

CUET PG | Mathematics | 2025

The length of major axis and coordinate of vertices for the ellipse $3 x^{2} + 2 y^{2} = 6$ respectively are:

Choose the correct answer:

Explanation

1. Standard Form mein conversion

3x^2 + 2y^2 = 6

Dono taraf $6$ se divide karne par:

\frac{x^2}{2} + \frac{y^2}{3} = 1

2. Comparison ( $b > a$ )

Is equation ko $\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1$ se compare karne par:

$a^2 = 2 \implies a = \sqrt{2}$
$b^2 = 3 \implies b = \sqrt{3}$

Kyunki $b > a$ hai, isliye major axis $y$ -axis par hai.

3. Final Results

Length of Major Axis ( $2b$ ):

$2 \times \sqrt{3} = 2\sqrt{3}$
Coordinates of Vertices $(0, \pm b)$ :

$(0, \pm \sqrt{3})$

Answer: Major axis ki length $2\sqrt{3}$ aur vertices $(0, \pm \sqrt{3})$ hain.