If $f$ and $g$ are differentiable in $(0,1)$ satisfying $f(0)=2=g(1), g(0)=0, f(1)=6$, then for some $c\in(0,1)$
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The two adjacent sides of a cyclic quadrilateral are 2 and 5 and the angle between them is $60^\circ$.
If the third sid…
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The number of 1’s in the binary representation of
$(3\times4096+15\times256+5\times16+3)$ is
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Find the missing term in the series:
$4,10,?,82,244,730$
Topic: CUET 2023
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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If each of $n$ numbers $x_i = i$ is replaced by $(i+1)x_i$, then the new mean is
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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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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: One is labelled as Assertion A and the other is labelled as Reason R.Assertion A:If the…
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A triangle with vertices $(4,0),(-1,-1),(3,5)$ is
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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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If $A,B,C$ are acute positive angles such that
$A+B+C=\pi$ and $\cot A\cot B\cot C=K$, then
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If $\oplus$ and $\odot$ denote exclusive OR and exclusive NOR operations respectively, then which one of the following …
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Given below are two statements:Statement I: The angle between the vectors $2\hat i+3\hat j+\hat k$ and $2\hat i-\hat j-…
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Given below are two statements: One is labelled as Assertion A and the other is labelled as Reason R.Assertion A: $f(x)…
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If $w, x, y, z$ are Boolean variables, then which of the following is incorrect?
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A circle $S$ passes through the point $(0,1)$ and is orthogonal to the circles
$(x-1)^2 + y^2 = 16$ and $x^2 + y^2 = 1$…
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Given below are two statements:Statement I:$\displaystyle \int_{-a}^{a} f(x),dx = \int_{0}^{a} [f(x)+f(-x)],dx$Statemen…
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The point(s) at which the function $f$ given by
$f(x)=\begin{cases}
\dfrac{x}{|x|}, & x
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If every pair from among the equations
$x^2 + px + qr = 0$,
$x^2 + qx + rp = 0$ and
$x^2 + rx + pq = 0$
has a common r…
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The top of a hill observed from the top and bottom of a building of height $h$ is at angles of elevation $p$ and $q$ re…
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