CUET Mathematics - For the function f(x) = x^1/x, x > 0, which of the following are correct? (A) x = 0 is the only point where extremum may occur. (B) The given function is maximum at x = e. (C) The function has no extreme value for x > 0. (D) The maximum value of the function f(x) is e^1/e. Choose the correct answer from the options given below: | PYQs + Solutions

CUET Mathematics 2025 19 May Shift 1

Calculus

Medium

applied

(A), (B) and (D) only

(A) and (C) only

(B) and (D) only

✅ Correct Option: 4

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The equation of the tangent to the curve $y = \frac{(x - 3)}{(x - 1)(x - 2)}$ at the point, where it cuts x-axis is:

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If $f(x) = \sin x - \cos x$ , $x \in [0, 2\pi]$ then

(A) $f(x)$ is increasing in $(0, \frac{3\pi}{4})$

(B) $f(x)$ is decreasing in $(0, \frac{3\pi}{4})$

(D) $f(x)$ is decreasing in $(\frac{7\pi}{4}, 2\pi)$

Choose the correct answer from the options given below:

CUET Mathematics 2025 19 May Shift 1 PYQs