If the unit vectors $\vec a$ and $\vec b$ are inclined at an angle $2\theta$ such that $|\vec a - \vec b| < 1$ and $0 \le \theta \le \pi$, then $\theta$ lies in the interval
Previous 10 Questions — CUET 2023
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A. If $(12P)_3 = (123)_p$, then value of $P$ is infeasible.B. The simplified sum of product form of the Boolean express…
Topic: CUET 2023
$\vec a = 2\hat i + 2\hat j + 3\hat k,; \vec b = -\hat i + 2\hat j + \hat k$
and
$\vec c = 3\hat i + \hat j$
are such …
Topic: CUET 2023
The value of
$; e^{\log 10 \tan 1^\circ + \log 10 \tan 2^\circ + \log 10 \tan 3^\circ + \cdots + \log 10 \tan 89^\circ}…
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Choose the figure which is different from the rest.
Topic: CUET 2023
Consider the adjoining diagram : What is the minimum number of different colours required to paint the figuresuch that …
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The amount of time required to read a block of data from a disk into memory is composed of seek time, rotational latenc…
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Count the number of triangles and squares in the given figure.
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A. If $A$ and $B$ are two invertible matrices, then $(AB)^{-1}=A^{-1}B^{-1}$B. Every skew symmetric matrix of odd order…
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A straight line has equation $y=-x+6$. Which of the following line is parallel to it?
Topic: CUET 2023
Let $E$ be the ellipse $\dfrac{x^2}{9}+\dfrac{y^2}{4}=1$ and $C$ be the circle $x^2+y^2=9$.
Let $P(1,2)$ and $Q(2,1)$ r…
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Next 10 Questions — CUET 2023
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Which of the following will be the next figure in the sequence?
Topic: CUET 2023
List I List II A. The angle between the straight lines, $2x^2 + 3y^2 - 7xy = 0$ I. $\tan^{-1}\dfrac{3}{5}$ B. The c…
Topic: CUET 2023
Let
$a=\cos \dfrac{2\pi}{7}+i\sin \dfrac{2\pi}{7}$,
$\alpha=a+a^2+a^4$ and $\beta=a^3+a^5+a^6$.
Then the equation whose…
Topic: CUET 2023
A RAM chip has a capacity of $1024$ words of $8$ bits each $(1k \times 8)$.
The number of $2 \times 4$ decoders with en…
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A triangle with vertices $(4,0),(-1,-1),(3,5)$ is
Topic: CUET 2023
Given below are two statements: One is labelled as Assertion A and the other is labelled as Reason R.Assertion A:If the…
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Observe the following premises and select the correct conclusion:Major premise: All engineers are innovativeMinor premi…
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Given below are two statements:Statement I:The number of different numbers each of 6 digits that can be formed by using…
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If each of $n$ numbers $x_i = i$ is replaced by $(i+1)x_i$, then the new mean is
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The moment of the couple formed by the forces
$5\hat i+\hat k$ and $-5\hat i-\hat k$ acting at the points $(9,-1,2)$ an…
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