(A) x=2at2,y=at4 in terms of parameter t - parametric, III.
(B) (2x+3)3 is composition - composite, IV.
(C) xy+y2=tan(x+y) defines y implicitly, II.
(D) y=tan−1(⋅) is inverse trigonometric, I.
CUET UG 2023 — Mathematics Calculus
Match List - I with List - II.
| List - I | List - II | ||
|---|---|---|---|
| (A) | x=2at2,y=at4 | (I) | Inverse trignometric function |
| (B) | f(x)=(2x+3)3 | (II) | Implicit function |
| (C) | xy+y2=tan(x+y) | (III) | Parametric function |
| (D) | y=tan−1(1−3x23x−x3),−31<x<31 | (IV) | Composite function |
Choose the correct answer from the options given below :
Held on 22 May 2023 · Verified 13 Jul 2026.
(A)-(III), (B)-(IV), (C)-(II), (D)-(I)
(A)-(IV), (B)-(I), (C)-(II), (D)-(III)
(A)-(II), (B)-(I), (C)-(III), (D)-(IV)
(A)-(I), (B)-(III), (C)-(IV), (D)-(II)
Sign in to track your attempts and accuracy.
Sign in to keep a private note on this question. Nothing you write is ever public.
The derivative of x³ + 2x² - 5x + 1 is:
If the function $f(x) = 2x^3 + 9x^2 + 12x-1$ is given,then $f(x)$ have
If $\int \frac{dx}{(x-1)^3/^4. (x+2)^5/^4} = a[1 - g(x)]^b + c$, where $c$ is a constant of integration, then which of the following are true? (A) $a = \frac{2}{3}$ (B) $\beta = \frac{3}{4}$ (C) $3\alpha + 4\beta = 5$ (D) $g(x) = \frac{3}{(x+2)}$ Choose the **correct** answer from the options given below:
Match **List-I** with **List-II** | List-I | List-II | |---|---| | **Function** | **Increasing on the interval** | | (A) $f(x) = -x^2 - 2x + 1$ | (I) $(-\infty, -1)$ | | (B) $f(x) = x^2 + 1$ | (II) $(1, \infty)$ | | (C) $f(x) = x^2 - 2x + 3$ | (III) $(-\infty, 0)$ | | (D) $f(x) = -x^2$ | (IV) $(0, \infty)$ | Choose the correct answer from the options given below:
The integral $\int e^x\left(\frac{x-1}{2x^2}\right)dx$ is equal to
Work through every CUET UG Calculus PYQ, year by year.