Answers by deepak01

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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

answered Dec 20, 2021 in Sets, relations and functions

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

answered Dec 20, 2021 in Sets, relations and functions

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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

answered Dec 20, 2021 in Sets, relations and functions

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

answered Dec 20, 2021 in Sets, relations and functions

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

answered Dec 20, 2021 in Sets, relations and functions

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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

answered Dec 20, 2021 in Sets, relations and functions

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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

answered Dec 20, 2021 in Sets, relations and functions

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

answered Dec 20, 2021 in Sets, relations and functions

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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

answered Dec 20, 2021 in Sets, relations and functions

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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

answered Dec 20, 2021 in Sets, relations and functions

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

answered Dec 20, 2021 in Sets, relations and functions

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

answered Dec 20, 2021 in Sets, relations and functions

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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

answered Dec 20, 2021 in Sets, relations and functions

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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

answered Dec 20, 2021 in Sets, relations and functions

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

answered Dec 20, 2021 in Sets, relations and functions

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

answered Dec 20, 2021 in Sets, relations and functions

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\(\int \frac{\log \sqrt{x}}{3 x} d x\) is equal to

answered Dec 20, 2021 in Sets, relations and functions

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If \(f(x)=\tan ^{-1}\left[\frac{\log \left(\frac{e}{x^{2}}\right)}{\log \left(e x^{2}\right)}\right]+\tan ^{-1}\left[\frac{3+2 \log x}{1-6 \log x}\right]\) then the value of \(f^{\prime \prime}(x)\) is

answered Dec 20, 2021 in Sets, relations and functions

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Describe the role of mass communication in India.

answered Dec 16, 2021 in Social Science

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test test test test

answered Dec 14, 2021 in Kinematics

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