CUET · MATHS · PYQ PAPER 2025
The area (in sq. units) of the region enclosed by the ellipse \(16 x^2+25 y^2=400\) is:
- A \(400 \pi\)
- B \(200 \pi\)
- C \(40 \pi\)
- D \(20 \pi\)
Answer & Solution
Correct Answer
(D) \(20 \pi\)
Step-by-step Solution
Detailed explanation
\(\frac{16 x^2}{400}+\frac{25 y^2}{400}=1\) \(\frac{x^2}{25}+\frac{y^2}{16}=1\) \(a^2=25 \Rightarrow a=5\) \(b^2=16 \Rightarrow b=4\) \(A=\pi ab = \pi(5)(4)\) \(A=20 \pi\)
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
- If \(A\) and \(B\) are independent events and \(P(A)=\frac{1}{2}, P(B)=\frac{1}{3}\) then
Match List-I with List-II
Choose the correct answer from the options given below :List-I List-II (A) \(P(A \cap B)\) (I) \(\frac{1}{2}\) (B) \(P(\bar{A}) P(B)+P(A) P(\bar{B})\) (II) \(\frac{1}{3}\) (C) \(P(A \mid B)+P(B \mid A)\) (III) \(\frac{1}{6}\) (D) \(P(\overline{A \cap B})\) (IV) \(\frac{5}{6}\) CUET 2025 Hard - A box contains 10 balls, each marked with one of the digits 0 to 9 .
If four balls are drawn successively with replacement from the box,
then the probability that none is marked with the digit \(0\) is :CUET 2025 Easy - A random variable X has the following distribution:
The value of k is:X 0 1 2 3 4 5 6 7 P(X) 0 3k k 2k \(3k^2\) \(k^2\) \(6k^2\) 3k CUET 2023 Hard - Let \(f: R \rightarrow R\) be defined as \(f(x)=5 x^2\). Choose the correct answer :CUET 2023 Hard
- If \(A\) is a square matrix such that \(A^2=A\) and \(I\) is the identity matrix of same order as \(A\), then the matrix \((2 I+A)^3-19 A-3 I\) is equal toCUET 2025 Easy
- The area of the parallelogram of which \(\hat{i}\) and \(\hat{i}+\hat{j}\) are adjacent sides is :CUET 2023 Easy
More PYQs from CUET
- If the random variable \(X\) follows the Poisson distribution such that \(P(X=k)=P(X=k+1)\), then the mean value of \(X\) is :CUET 2025 Easy
- Alien DNA can be introduced in the animal host cell by :CUET 2023 Hard
- Standard reduction potentials (\(\text{E}^{\circ}\)) of \(\text{Pb}^{2+}, \text{Ag}^+, \text{Cu}^{2+}\) and \(\text{Fe}^{2+}\) are \(-0.13 \text{ V}, +0.80 \text{ V}, +0.31 \text{ V},\) and \(-0.44 \text{ V}\) respectively. Which is the strongest reducing agent?CUET 2023 Easy
- At an instant of time, a magnetic field is applied along the velocity of the particle. The acceleration produced in the particle will beCUET 2025 Medium
- For an endothermic reaction, energy of activation is \(E_a\) and enthalpy of reaction is \(\Delta H\)
(both of these are in \(kJ'\) mol\(^{-1}\)), minimum value of \(E_a\) will be :CUET 2023 Easy - Match List-I and List-II
List-I List-II A. \([\text{Co(NH}_3\text{)}_6\text{]}^{3+}\) I. \(\text{sp}^3\) B. \([\text{CoF}_6\text{]}^{3-}\) II. \(\text{dsp}^2\) C. \([\text{NiCl}_4\text{]}^{2-}\) III. \(\text{d}^2\text{sp}^3\) D. \([\text{Ni(CN)}_4\text{]}^{2-}\) IV. \(\text{sp}^3\text{d}^2\)
Choose the correct answer from the options given below:"CUET 2023 Easy