CUET PG 2023 — Mathematics PYQ

Q: How do I solve CUET PG 2023 Mathematics questions?

Practice CUET PG 2023 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 CUET PG Mathematics questions?

CUET PG 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 CUET PG previous year papers available for free?

Yes. Mathem Solvex provides free access to CUET PG 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

CUET PG 2023 — Mathematics PYQ

CUET PG | Mathematics | 2023

Given below are two statements : One is labelled as Assertion A and the other is labelled as Reason R.
Assertion A : 𝑓(𝑥)=tan²𝑥 is continuous at 𝑥=𝜋/2
Reason R : 𝑔(𝑥)=𝑥²is continuous at 𝑥=𝜋/2
In the light of the above statements, choose the correct answer from the options given below:

Choose the correct answer:

Explanation

Analysis of Assertion A

Function diya gaya hai: $f(x) = \tan^2 x$ .

Humein pata hai ki $\tan x$ ki value $\frac{\pi}{2}$ par undefined hoti hai.

$\tan(\pi/2)$ define nahi hota ( $\infty$ ki taraf jata hai).
Kyunki $\tan x$ point $x = \pi/2$ par exist hi nahi karta, isliye $f(x) = \tan^2 x$ bhi wahan discontinuous hoga.

Verdict: Assertion A False hai.

Analysis of Reason R

Function diya gaya hai: $g(x) = x^2$ .

$g(x) = x^2$ ek polynomial function hai.
Polynomial functions apni poori domain ( $\mathbb{R}$ ) mein continuous hote hain.
Isliye, $x = \pi/2$ par bhi yeh continuous hoga.
$g(\pi/2) = (\pi/2)^2 = \pi^2/4$ , jo ki ek finite aur defined value hai.

Verdict: Reason R True hai.

Final Conclusion

Assertion A is False: Kyunki $\tan^2 x$ point $\pi/2$ par defined hi nahi hai.
Reason R is True: Kyunki $x^2$ har jagah continuous hota hai.

Correct Option: Assertion A is false but Reason R is true.