Recent questions in Sets, relations and functions

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In the expansion of \((x-1)(x-2) \ldots .(x-18)\), the coefficient of \(x^{17}\) is

asked Dec 8, 2021 in Sets, relations and functions by deepak01 (12.2k points)

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For \(+\) ve integer \(n, n^{3}+2 n\) is always divisible by

asked Dec 8, 2021 in Sets, relations and functions by deepak01 (12.2k points)

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If, \(\frac{1}{{ }^{5} C_{t}}+\frac{1}{{ }^{6} C_{r}}=\frac{1}{{ }^{4} C_{t}}\), then the value of r equals to

asked Dec 8, 2021 in Sets, relations and functions by deepak01 (12.2k points)

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The number of ways in which the letters of the word ARRANGE can be permuted such that the R's occur together is

asked Dec 8, 2021 in Sets, relations and functions by deepak01 (12.2k points)

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If \(p, q\) are the roots of the equation \(x^{2}+p x+q=0\), then

asked Dec 8, 2021 in Sets, relations and functions by anonymous

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If \(z_{1}, z_{2}, z_{3}\) are imaginary numbers such that \(\left|z_{1}\right|=\left|z_{2}\right|=\left|z_{3}\right|=\left|\frac{1}{z_{1}}+\frac{1}{z_{2}}+\frac{1}{z_{3}}\right|=1\) then \(\left|z_{1}+z_{2}+z_{3}\right|\) is

asked Dec 8, 2021 in Sets, relations and functions by anonymous

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The value of \(\sum_{n=1}^{13}\left(i^{n}+i^{n+1}\right), i=\sqrt{-1}\), is

asked Dec 8, 2021 in Sets, relations and functions by anonymous

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if \(\log _{0.3}(x-1)<\log _{009}(x-1)\), then \(x\) lies in the interval

asked Dec 8, 2021 in Sets, relations and functions by anonymous

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If \(a, x\) are real numbers and \(|a|<1,|x|<1\), then \(1+(1+a) x+\left(1+a+a^{2}\right) x^{2}+\ldots \infty\) is equal to

asked Dec 8, 2021 in Sets, relations and functions by anonymous

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If \(x\) is a positive real number different from 1 such that \(\log _{a} x, \log _{b} x, \log _{c} x\) are in A.P., then

asked Dec 8, 2021 in Sets, relations and functions by anonymous

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The cosine of the angle between any two diagonals of a cube is

asked Dec 8, 2021 in Sets, relations and functions by anonymous

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Time peirod \(T\) of a simple pendulum of length \(I\) is given by \(T=2 \pi \sqrt{\frac{1}{g}}\). If the length is increased by \(2 \%\), then an approximate change in the time period is

asked Dec 8, 2021 in Sets, relations and functions by anonymous

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Let \(S\) be the set of points whose abscissas and ordinates are natural numbers. Let \(P \in S\) such that the sum of the distance of \(P\) from \((8,0)\) and \((0,12)\) is minimum among all elements in \(S\). Then the number of such points \(P\) in \(S\) is

asked Dec 8, 2021 in Sets, relations and functions by anonymous

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The area enclosed by \(y=\sqrt{5-x^{2}}\) and \(y=|x-1|\) is

asked Dec 8, 2021 in Sets, relations and functions by anonymous

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The line \(y=x+\lambda\) is tangent to the ellipse \(2 x^{2}+3 y^{2}=1\). Then \(\lambda\) is

asked Dec 8, 2021 in Sets, relations and functions by anonymous

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The order of the differential equation of all parabolas whose axis of symmetry along x-axis is

asked Dec 8, 2021 in Sets, relations and functions by anonymous

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If the solution of the differential equation \(x \frac{d y}{d x}+y=x e^{x}\) be, \(x y=e^{x} \varphi(x)+c\) then \(\varphi(x)\) is equal to

asked Dec 8, 2021 in Sets, relations and functions by anonymous

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The value of \(\operatorname{lt}_{n \rightarrow \infty}\left\{\frac{\sqrt{n+1}+\sqrt{n+2}+\ldots .+\sqrt{2 n-1}}{n^{3 / 2}}\right\}\) is

asked Dec 8, 2021 in Sets, relations and functions by anonymous

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\(\int_{0}^{1} \log \left(\frac{1}{x}-1\right) d x=\)

asked Dec 8, 2021 in Sets, relations and functions by anonymous

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\(\int 2^{x}\left(f^{\prime}(x)+f(x) \log 2\right) d x\) is equal to

asked Dec 8, 2021 in Sets, relations and functions by anonymous

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