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CUET Mathematics 2023 Mathematics Mock Tests & Questions

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CUET Mathematics 2023

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56 min · 46 questions · 230 marks

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CUET Mathematics 2023 1 section

Mathematics

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56 min · 46 questions · 230 marks

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Showing 46 of 46 matching questions

CUET UG CUET Mathematics 2023 Mathematics Medium MCQ (Single Correct)
If \(A = \begin{bmatrix}2&3\\-3&5\end{bmatrix}\), then which of the following statements are correct? A. \(A\) is a square matrix B. \(A^{-1}\) exists C. \(A\) is a symmetric matrix D. \(|A| = 19\) E. \(A\) is a null mat…
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CUET UG CUET Mathematics 2023 Mathematics Medium MCQ (Single Correct)
The number of all possible matrices of order \(2\times2\) with each entry 0 or 1 is
+5.00 marks · -1.00 negative Take full test: CUET Mathematics Previous Year Question Bank →
CUET UG CUET Mathematics 2023 Mathematics Medium MCQ (Single Correct)
If \(y = \left(\frac{1}{x}\right)^x\), then the value of \(e^e\left(\frac{d^2y}{dx^2}\right)_{x=e}\) is:
+5.00 marks · -1.00 negative Take full test: CUET Mathematics Previous Year Question Bank →
CUET UG CUET Mathematics 2023 Mathematics Medium MCQ (Single Correct)
The function \(f(x) = x^2 - 2x\) is strictly decreasing in the interval
+5.00 marks · -1.00 negative Take full test: CUET Mathematics Previous Year Question Bank →
CUET UG CUET Mathematics 2023 Mathematics Medium MCQ (Single Correct)
\(\int \frac{dx}{x(x^5+3)}\) is equal to
+5.00 marks · -1.00 negative Take full test: CUET Mathematics Previous Year Question Bank →
CUET UG CUET Mathematics 2023 Mathematics Medium MCQ (Single Correct)
\(\int_{-1}^{1}(|x-2|+|x|)\,dx =\)
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CUET UG CUET Mathematics 2023 Mathematics Medium MCQ (Single Correct)
If \(a\) and \(b\) are the order and degree of the differential equation \(y'' + (y)^2 + 2y = 0\), then the value of \(2a+6b\) is:
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CUET UG CUET Mathematics 2023 Mathematics Medium MCQ (Single Correct)
The solution of the differential equation \(x\,dy - y\,dx = 0\) represents a family of
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CUET UG CUET Mathematics 2023 Mathematics Medium MCQ (Single Correct)
\(\int_{-1}^{1} e^{|x|}\,dx =\)
+5.00 marks · -1.00 negative Take full test: CUET Mathematics Previous Year Question Bank →
CUET UG CUET Mathematics 2023 Mathematics Medium MCQ (Single Correct)
For two events \(A, B\): \(P(A\cup B) = \frac{7}{12}\), \(P(A) = \frac{5}{12}\), \(P(B) = \frac{3}{12}\). Then \(P(A\cap B) =\)
+5.00 marks · -1.00 negative Take full test: CUET Mathematics Previous Year Question Bank →
CUET UG CUET Mathematics 2023 Mathematics Medium MCQ (Single Correct)
The probability distribution of X is x | 0 | 1 | 2 | 3 | 4 P(X = x) | 0.1 | 2k | k | k | 2k Then \(\text{Var}(X) =\)
+5.00 marks · -1.00 negative Take full test: CUET Mathematics Previous Year Question Bank →
CUET UG CUET Mathematics 2023 Mathematics Medium MCQ (Single Correct)
The maximum value of \(z = 4x+2y\) subject to the constraints \(2x+3y\le28\), \(x+y\le10\), \(x,y\ge0\) is:
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CUET UG CUET Mathematics 2023 Mathematics Medium MCQ (Single Correct)
Match List - I with List - II List - I | List - II A. R = {(x, y) : x and y are students of the same school} | I. Symmetric B. R = {(L1, L2) : L1 ⊥ L2, where L is a set of all lines} | II. One-one C. A function f : R → R…
+5.00 marks · -1.00 negative Take full test: CUET Mathematics Previous Year Question Bank →
CUET UG CUET Mathematics 2023 Mathematics Medium MCQ (Single Correct)
The value of \(\tan^{-1}\left[2\sin\left\{2\cos^{-1}\left(\frac{\sqrt{3}}{2}\right)\right\}\right]\) is
+5.00 marks · -1.00 negative Take full test: CUET Mathematics Previous Year Question Bank →
CUET UG CUET Mathematics 2023 Mathematics Medium MCQ (Single Correct)
Match List - I with List - II List - I | List - II A. The range of \(\sin^{-1}x\) is | I. \(\left[-\frac{\pi}{2},0\right)\cup\left(0,\frac{\pi}{2}\right]\) B. The range of \(\tan^{-1}x\) is | II.…
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CUET UG CUET Mathematics 2023 Mathematics Medium MCQ (Single Correct)
If \(A = \begin{bmatrix}\cos\alpha&\sin\alpha\\-\sin\alpha&\cos\alpha\end{bmatrix}\), then:
+5.00 marks · -1.00 negative Take full test: CUET Mathematics Previous Year Question Bank →
CUET UG CUET Mathematics 2023 Mathematics Medium MCQ (Single Correct)
If \(A = \begin{bmatrix}2&1&0\\3&1&2\\0&4&-1\end{bmatrix}\), then \(|\text{adj}(A)|\) is equal to
+5.00 marks · -1.00 negative Take full test: CUET Mathematics Previous Year Question Bank →
CUET UG CUET Mathematics 2023 Mathematics Medium MCQ (Single Correct)
If \(\theta\) is the angle between any two vectors \(\vec{a}\) and \(\vec{b}\), then \(|\vec{a}\cdot\vec{b}| = |\vec{a}\times\vec{b}|\) for \(\theta\) equal to
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CUET UG CUET Mathematics 2023 Mathematics Medium MCQ (Single Correct)
For an objective function \(z = ax+by\) where \(a, b > 0\), the corner points of the feasible region determined by a set of constraints are \((0,20)\), \((10,10)\), \((30,30)\) and \((0,40)\). The condition on \(a\) and…
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CUET UG CUET Mathematics 2023 Mathematics Medium MCQ (Single Correct)
If \(y = \log\left(\sec e^{x^2}\right)\), then \(\frac{dy}{dx} =\)
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CUET UG CUET Mathematics 2023 Mathematics Medium MCQ (Single Correct)
If \(y = e^{\log\sin^{-1}x} + e^{\log\cos^{-1}x}\),…
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CUET UG CUET Mathematics 2023 Mathematics Medium MCQ (Single Correct)
Match List - I with List - II List - I | List - II A. \(\int\frac{1}{x+\sqrt{x}}dx\) | I. \(2\sqrt{x} + C\) B. \(\int\frac{e^{\log\sqrt{x}}}{x}dx\) | II. \(2(\sqrt{x}-1)e^{\sqrt{x}} + C\) C. \(\int\frac{dx}{4x^2-9}\) | I…
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CUET UG CUET Mathematics 2023 Mathematics Medium MCQ (Single Correct)
The order of the differential equation whose general solution is \(y = e^x(a\cos x+b\sin x)\), where \(a\) and \(b\) are arbitrary constants, is:
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CUET UG CUET Mathematics 2023 Mathematics Medium MCQ (Single Correct)
\(\frac{d}{dx}\left[\int_0^{2a} f(\sin 2x)\,dx\right] =\)
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CUET UG CUET Mathematics 2023 Mathematics Medium MCQ (Single Correct)
\(\int\tan x(\sec x-\tan x)\,dx =\)
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CUET UG CUET Mathematics 2023 Mathematics Medium MCQ (Single Correct)
If \(\cos\alpha, \cos\beta, \cos\gamma\) are the direction cosines of a vector \(\vec{a}\), then the value of \(\cos2\alpha+\cos2\beta+\cos2\gamma\) is equal to:
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CUET UG CUET Mathematics 2023 Mathematics Medium MCQ (Single Correct)
The value of \(\hat{i}\cdot(\hat{j}\times\hat{k})+\hat{j}\cdot(\hat{i}\times\hat{k})+\hat{k}\cdot(\hat{i}\times\hat{j})\) is
+5.00 marks · -1.00 negative Take full test: CUET Mathematics Previous Year Question Bank →
CUET UG CUET Mathematics 2023 Mathematics Medium MCQ (Single Correct)
The corner points of the feasible region for an L.P.P. are \((2,0)\), \((7,0)\), \((4,5)\) and \((0,3)\), and \(z = 2x+3y\) is the objective function. The difference of the maximum and minimum values of \(z\) is:
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CUET UG CUET Mathematics 2023 Mathematics Medium MCQ (Single Correct)
The area of the parallelogram whose adjacent sides are \(\hat{i}+\hat{k}\) and \(2\hat{i}+\hat{j}+\hat{k}\) is
+5.00 marks · -1.00 negative Take full test: CUET Mathematics Previous Year Question Bank →
CUET UG CUET Mathematics 2023 Mathematics Medium MCQ (Single Correct)
If \(x(\hat{i}+\hat{j}+\hat{k})\) is a unit vector, then the value of \(x\) is:
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CUET UG CUET Mathematics 2023 Mathematics Medium MCQ (Single Correct)
The point of intersection of the lines \(\frac{x-1}{2} = \frac{y-2}{3} = \frac{z-3}{4}\) and \(\frac{x-4}{5} = \frac{y-1}{2} = z\) is
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CUET UG CUET Mathematics 2023 Mathematics Medium MCQ (Single Correct)
The distance between the point \((3,4,5)\) and the point where the line \(\frac{x-3}{1} = \frac{y-4}{2} = \frac{z-5}{2}\) meets the plane \(x+y+z=17\) is
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CUET UG CUET Mathematics 2023 Mathematics Medium MCQ (Single Correct)
If events A and B are independent, then identify the correct statement (A) A and B must be mutually exclusive (B) The sum of their probabilities must be equal to 1 (C) \(P(A)\cdot P(B) = P(A\cap B)\) (D) \(A'\) and…
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CUET UG CUET Mathematics 2023 Mathematics Medium MCQ (Single Correct)
The equation of the plane passing through the point \((0,7,-7)\) and containing the line \(\frac{x+1}{-3} = \frac{y-3}{2} = \frac{z+2}{1}\) is:
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CUET UG CUET Mathematics 2023 Mathematics Medium MCQ (Single Correct)
If \(A\) and \(B\) are two independent events with \(P(A) = \frac{3}{5}\) and \(P(B) = \frac{4}{9}\), then \(P(A'\cap B')\) is equal to
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CUET UG CUET Mathematics 2023 Mathematics Medium MCQ (Single Correct)
A line \(L: \frac{x-2}{1} = \frac{y-3}{2} = \frac{z-1}{-1}\) is perpendicular to a plane \(P\) which passes through the point \((4,3,9)\). If the mirror image of the point \(S\) on the line \(L\) in the plane \(P\) is…
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CUET UG CUET Mathematics 2023 Mathematics Medium MCQ (Single Correct)
A biased dice is thrown once. If X denotes the number appearing on it, it has the probability distribution: x | 1 | 2 | 3 | 4 | 5 | 6 P(X = x) | k | k/2 | 2k | 8k² | 1 - 5k | k/2 where k > 0. Then consider the following…
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CUET UG CUET Mathematics 2023 Mathematics Medium MCQ (Single Correct)
If \(x\) and \(y\) represent the length and breadth of the rectangular region, then:
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CUET UG CUET Mathematics 2023 Mathematics Medium MCQ (Single Correct)
The value of \(x\), for which the area of the floor of the auditorium is maximum, is:
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CUET UG CUET Mathematics 2023 Mathematics Medium MCQ (Single Correct)
The value of \(y\), for which the area of the floor of the auditorium is maximum, is:
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CUET UG CUET Mathematics 2023 Mathematics Medium MCQ (Single Correct)
Maximum area of the floor is:
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CUET UG CUET Mathematics 2023 Mathematics Medium MCQ (Single Correct)
The equation of the plane passing through the points \(A\), \(B\) and \(C\) is:
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CUET UG CUET Mathematics 2023 Mathematics Medium MCQ (Single Correct)
The maximum height of the ball from the ground is
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CUET UG CUET Mathematics 2023 Mathematics Medium MCQ (Single Correct)
The equation of the perpendicular line drawn from the maximum height of the ball to the ground is:
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CUET UG CUET Mathematics 2023 Mathematics Medium MCQ (Single Correct)
The co-ordinates of the foot of the perpendicular drawn from the maximum height of the ball to the ground are
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CUET UG CUET Mathematics 2023 Mathematics Medium MCQ (Single Correct)
The area of \(\Delta ABC\) is:
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