CUET · MATHS · PYQ PAPER 2023
The value of the determinant \(\left|\begin{array}{ccc}66 & 18 & 36 \\ 1 & 3 & 4 \\ 11 & 3 & 6\end{array}\right|\) is:
- A -1
- B 1
- C 0
- D 2
Answer & Solution
Correct Answer
(C) 0
Step-by-step Solution
Detailed explanation
Factor out 6 from \(R_1\): \(6 \left| \begin{array}{ccc} 11 & 3 & 6 \\ 1 & 3 & 4 \\ 11 & 3 & 6 \end{array} \right|\) Since \(R_1 = R_3\), the determinant is 0: \(6 \times 0 = 0\)
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 value of \(x\) for which the matrix \(A = \begin{bmatrix} 1 & -2 & 3 \\ 1 & 2 & 1 \\ x & 2 & -3 \end{bmatrix}\) is singular is:CUET 2023 Medium
- In a game, a man wins ₹ \( 8\) for getting a number greater than 3 and loses ₹ 3 otherwise, when a fair die is thrown.
The man decided to throw a die 4 times but to quit as and when he gets a number greater than 3.
If \(X\) denotes the amount which the man wins or loses, then which of the following are correct?
(A) All the possible values of \(X\) are \(8,5,2\) and -1 .
(B) The probability distribution of \(X\) is :X 8 5 2 -1 -12 P(X) 1/2 1/4 1/8 1/16 1/16
(C) The mean value of \(X\) is \(\frac{75}{16}\).
(D) The variance of \(X\) is \(\frac{6615}{256}\).
Choose the correct answer from the options given below :CUET 2025 Medium - If the sum and difference of squares of mean and variance of a Binomial distribution is \(\frac{225}{256}\) and \(\frac{63}{256}\) respectively, the \(P(X \geq 2)\) is :CUET 2025 Medium
- If \(X=11\) and \(Y=3\), then \(X \bmod Y=(X+a Y) \bmod Y\) holds:CUET 2025 Easy
- A square matrix \(B=\left[b_{i j}\right]_{n \times n}\) where
\(b_{i j}=0\) when \(i \neq j\)
\(b_{i j}=k\) when \(i=j\) for some constant \(k\) is called:CUET 2023 Easy - A random variable X has the following probability distribution :
Then the values of ' \(a\) ' and \(P(0<X<5)\) respectively are :X 0 1 2 3 4 5 6 7 8 P(X) a 3a 5a 7a 9a 11a 13a 15a 17a CUET 2025 Easy
More PYQs from CUET
- A linear programming problem is as follows :
Minimize \(z=2 x+3 y\)
Subject to the constraints \(x \geq 3, x \leq 9, y \geq 0, x-y \geq 0, x+y \leq 14\).
The feasible region has 5 corner points includingCUET 2025 Easy - \(\Delta_o\) for a complex \([ML_6]^{3-}\) is \(18000\) \(cm^{-1}\). \(\Delta_t\) for \([ML_4]\) would be :CUET 2023 Medium
- Correct order of boiling points in the following is :
(A) \(CH_3CHO\)
(B) \(CH_3COOH\)
(C) \(CH_3CH_2OH\)
(D) \(CH_3CH_3\)
(E) \(CH_3CH_2Cl\)
Choose the correct answer from the options given below :CUET 2023 Easy - A Convex mirror produces the magnification \( \frac{1}{3} \) and \( \frac{1}{4} \) when the object is placed at the points P and Q in front of the mirror.CUET 2023 Easy
- The solution of the differential equation \(y d x+\left(x-y^2\right) d y=0\) is :CUET 2025 Medium
- A problem in mathematics is given to three students whose chances of solving it are \(\frac{1}{2}, \frac{1}{3}\) and \(\frac{1}{4}\) respectively, the probability that the problem is solved is ______________.CUET 2023 Easy