CUET Mathematics - If f(x) = cases (/4 - x) 2x & , x ≠ /4 \\ 2K + 1 & , x = /4 cases is continuous at x = /4, then the value of K is equal to | PYQs + Solutions

CUET Mathematics 2025 21 May Shift 1

Calculus

Medium

core

$\frac{1}{4}$

$\frac{1}{2}$

$-\frac{1}{2}$

$-\frac{1}{4}$

✅ Correct Option: 4

Related questions:

15 May Shift 2

Which of the following functions $f(x)$ are differentiable at $x = 0$ ?

(A) $|x|$

(B) $|x - 1|$

(D) $|\cos x|$

(E) $x^2$

Choose the correct answer from the options given below:

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If $x = \frac{1-t}{1+t}$ and $y = \frac{3t}{1+t}$ , then $\frac{d^2y}{dx^2}$ is equal to

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If $x = a\cos\alpha + b\sin\alpha$ and $y = a\sin\alpha - b\cos\alpha$ , then $\left(x\frac{dy}{dx} - y^2\frac{d^2x}{dx^2}\right)$ is equal to:

CUET Mathematics 2025 21 May Shift 1 PYQs