CUET · MATHS · PYQ PAPER 2025
The value of \(\left[\begin{array}{lll}1 & b c & b c(b+c) \\ 1 & c a & c a(c+a) \\ 1 & a b & a b(a+b)\end{array}\right]\) is
- A 1
- B \(0\)
- C \(a b c\)
- D \((a+b+c)^2 a b c\)
Answer & Solution
Correct Answer
(B) \(0\)
Step-by-step Solution
Detailed explanation
\(\left|\begin{array}{lll}1 & b c & b c(b+c) \\ 1 & c a & c a(c+a) \\ 1 & a b & a b(a+b)\end{array}\right|\) \(R_2 \leftarrow R_2 - R_1, R_3 \leftarrow R_3 - R_1\)…
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
- The area bounded by the curve y = sin x and x-axis between \(x=-\pi\) and \(x=\pi\) is:CUET 2023 Medium
- If \(P\left[\begin{array}{lll}1 & 2 & 3 \\ 4 & 5 & 6\end{array}\right]=\left[\begin{array}{ccc}-7 & -8 & -9 \\ 2 & 4 & 6\end{array}\right]\), then matrix \(P\) is equal to :CUET 2025 Medium
- Match List - I with List - II
Choose the correct answer from the options given below:List - I List - II (A) Line: x = 2y + 1 = z - 1 (I) Crosses xz-plane at (1,0,1) (B) Line: x + 1 = 2y + 1 = z (II) Crosses xz-plane at (0,0,1) (C) Line: x - 1 = 2y = z + 1 (III) Crosses xz-plane at (1,0,-1) (D) Line: x - 1 = 2y = z - 1 (IV) Crosses xz-plane at (1,0,2) CUET 2025 Hard - Irregular trends in a time series are caused by
(A) Epidemics
(B) Strikes
(C) Festival season
(D) Floods
Choose the correct answer from the options given below :CUET 2025 Medium - If A and B are independent events and \(P(A)=\frac{3}{5}, P(B)=\frac{1}{5}\), then \(P(A \cap B)\) is :CUET 2023 Medium
- Let \(A=\left[a_{i j}\right]_{3 \times 3}\) such that \(|A|=-5\). Then the value of \(\operatorname{det}(5 A)\) is equal toCUET 2025 Hard
More PYQs from CUET
- A conducting circular loop is placed in a uniform magnetic field of 10 T with its plane normal to the field. Now, the radius of the loop starts shrinking at the rate 5 mm/s. When the radius is 5 cm then the induced emf isCUET 2025 Medium
- The function \(f(x)=|x-1|, x \in R\) is:CUET 2023 Hard
- Which of the following statements is correct?CUET 2025 Hard
- For the differential equation \((x+y) d y+(x-y) d x=0\), which of the following is/are correct?
(A) Differential equation is homogeneous
(B) Order of differential equation is 1
(C) Integrating factor of differential equation is \(e ^{ x }\)
(D) Degree of the equation is not defined
Choose the correct answer from the options given below:CUET 2025 Medium - Two cards are drawn simultaneously from a well shuffled pack of 52 cards. Then variance of the number of kings is:CUET 2023 Hard
- The correct arrangment of colours in the descending order of their wavelength is
A. Green
B. Orange
C. Yellow
D. Violet
E. Red
Choose the correct answer from the options given below:CUET 2023 Medium