CUET · MATHS · PYQ PAPER 2025
Match List-I with List-II
| List-I | List-II |
| (A) Degree of this differential equation \(\frac{d^4 y}{d x^4}+2 \log _e\left(\frac{d^3 y}{d x^3}\right)=0\) | (I) 1 |
| (B) Order of this differential equation \(e^{\left(\frac{dy}{dx}\right)^3}+3 y\left(\frac{d^2 y}{d x^2}\right)^3=0\) | (II) 4 |
| (C) Degree of \(\frac{d^4 y}{d x^4}+\left(\frac{d y}{d x}\right)^2=0\) | (III) not defined |
| (D) Order of the differential equation \(2 \frac{d^4 y}{d x^4}+\left(\frac{d^2 y}{d x^2}\right)^5=0\) | (IV) 2 |
- A (A) - (II), (B) - (IV), (C) - (III), (D) - (I)
- B (A) - (III), (B) - (IV), (C) - (I), (D) - (II)
- C (A) - (III), (B) - (IV), (C) - (II), (D) - (I)
- D (A) - (II), (B) - (III), (C) - (IV), (D) - (I)
Answer & Solution
Correct Answer
(B) (A) - (III), (B) - (IV), (C) - (I), (D) - (II)
Step-by-step Solution
Detailed explanation
(A) The term \( \log _e\left(\frac{d^3 y}{d x^3}\right) \) makes the differential equation not a polynomial in its derivatives. Degree is not defined. (A) - (III) (B) Highest order derivative is \( \frac{d^2 y}{d x^2} \). Order is 2. (B) - (IV) (C) Highest order derivative is…
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from MATHS
- For Z = 3x + 4y, subject to the constraints \(x+y \leq 5, x \geq 0, y \geq 0\), the shaded region shown in the figure as OAB is bounded and the coordinates of the corner points O, A, B are (0, 0), (5, 0) and (0, 5) respectively. The maximum value of Z is:
CUET 2023 Easy - The value of \(\int_1^2 \frac{\sqrt{x}}{\sqrt{3-x}+\sqrt{x}} d x\) is:CUET 2023 Medium
- If \(f(x)=\left\{\begin{array}{ll}\frac{1-\tan x}{4 x-\pi} & x \neq \frac{\pi}{4} \\ k & x=\frac{\pi}{4}\end{array}\right.\) is continuous at \(x=\frac{\pi}{4}\), then the value of \(k\) isCUET 2025 Hard
- If \(\left|\begin{array}{ccc}x-2 & 1 & 2 \\ 1 & 2 x & 1 \\ -1 & 1 & 1\end{array}\right|=3\) then the values of x are:CUET 2023 Medium
- A random variable X has the following probability distribution
then, which of the following is correct?X 0 1 2 \(P ( X )\) \(1 / 4\) \(1 / 2\) \(1 / 4\) CUET 2025 Hard - According to the graph drawn here, identify the constraints of the associated linear programming problem :
CUET 2023 Hard
More PYQs from CUET
- Three concentric metallic spherical shells of radii \( R, 2R \), and \( 3R \) are given charges \( Q_1, Q_2 \) and \( Q_3 \), respectively. It is found that the surface charge densities on the outer surfaces of the shells are equal. Then, the ratio of the charges given to the shells \( Q_1 : Q_2 : Q_3 \) is:CUET 2025 Hard
- Arrange the following solutions according to their increasing boiling points.
A. \(0.1 M Glucose\)
B. \(0.1 M NaCl\)
C. \(0.1 M K _4\left[ Fe ( CN )_6\right]\)
D. \(0.1 M MgCl _2\)
E. \(0.1 M AlCl _3\)
Choose the correct answer from the options given below:CUET 2023 Easy - Solution of differential equation \(\frac{d y}{d x}=\cos (x+y+3)\) is:CUET 2023 Easy
- There are two values of a for which the determinant, \(\Delta = \begin{vmatrix} 1 & -2 & 5 \\ 0 & a & -1 \\ 0 & 4 & 2a \end{vmatrix} = 86\), then the sum of these values of a is:CUET 2023 Easy
- Which of the following statements is correct for an electric dipole placed along the direction of a non-uniform electric field?CUET 2025 Medium
- If the function \(f(x)=\left\{\begin{array}{ll}\frac{\sin 3 x}{x}, & \text { if } x \neq 0 \\ \frac{3 k}{2}, & \text { if } x=0\end{array}\right.\) is continuous at \(x=0\), then the value of \(k\) is :CUET 2025 Hard