If $\omega$ is a cube root of unity, then find the value of determinant $\begin{vmatrix} 1+\omega &\omega^{2} &-\omega \\ 1+\omega^{2}&\omega &-\omega^{2} \\ \omega^{2}+\omega&\omega &-\omega^{2} \end{vmatrix}$
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The value of the integral $\int _0^{\pi/2} \frac{\sqrt{sinx}}{\sqrt{sinx}+\sqrt{cosx}} dx$ is
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Person A can hit a target 4 times in 5 attempts. Person B - 3 times in four attempts. Person C – 2
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If the vector $2\hat{i}-3\hat{j}$ , $\hat{i}+\hat{j}-\hat{k}$ and $3\hat{i}-\hat{k}$ form three conterminous edges of a…
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In a G.P. consisting of positive terms, each term equals the sum of the next two terms. Then the
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The area enclosed within the curve $|X|+|Y| = 1$ (in square units) is
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