MAH-CET 2025 — Mathematics PYQ

Q: How do I solve MAH-CET 2025 Mathematics questions?

Practice MAH-CET 2025 Mathematics previous year questions with step-by-step solutions on Mathem Solvex. Each question includes a detailed explanation and video solution to help you master the concept quickly.

Q: What is the difficulty level of MAH-CET Mathematics questions?

MAH-CET Mathematics questions range from moderate to advanced difficulty. Consistent practice with official previous year papers and topic-wise drills on Mathem Solvex is the most effective preparation strategy.

Q: Are MAH-CET previous year papers available for free?

Yes. Mathem Solvex provides free access to MAH-CET previous year question papers and topic-wise PDFs. You can download them or attempt them as timed live mock tests directly on the platform.

Question

MAH-CET 2025 — Mathematics PYQ

MAH-CET | Mathematics | 2025

If 3 $tan^{- 1} x$ + $cot^{- 1} x$ = π then x equals

Choose the correct answer:

Explanation

Solution

1. Di gayi Equation:

3 \tan^{-1}x + \cot^{-1}x = \pi

2. $3 \tan^{-1}x$ ko split (todna) karna:

Humein pata hai ki $3 \tan^{-1}x$ ko hum $2 \tan^{-1}x + \tan^{-1}x$ likh sakte hain:

(2 \tan^{-1}x + \tan^{-1}x) + \cot^{-1}x = \pi

3. Identity ka upyog karna:

Ab $(\tan^{-1}x + \cot^{-1}x)$ ki jagah $\frac{\pi}{2}$ rakhte hain:

2 \tan^{-1}x + \frac{\pi}{2} = \pi

4. $\tan^{-1}x$ ke liye solve karna:

$\frac{\pi}{2}$ ko right side le jaakar subtract karte hain:

2 \tan^{-1}x = \pi - \frac{\pi}{2}

2 \tan^{-1}x = \frac{\pi}{2}

Ab dono sides ko $2$ se divide karte hain:

\tan^{-1}x = \frac{\pi}{4}

5. $x$ ki value nikaalna:

x = \tan\left(\frac{\pi}{4}\right)

Humein pata hai ki $\tan(45^\circ)$ ya $\tan\left(\frac{\pi}{4}\right)$ ki value 1 hoti hai:

x = 1

Choose the correct answer:

Explore More