For any 2-rowed square matrix A, if A (adj A)= [ ll 8 & 0 0 & 8 ] then the value of | A | is

For any 2-rowed square matrix A, if A (adj A)= [ ll 8 & 0 0 & 8 ]…

Let $A$ be a symmetric matrix such that $|A|=2$ and $\left[\begin{array}{ll}2 & 1 \\ 3 & \frac{3}{2}\end{array}\right] A =\left[\begin{array}{ll}1 & 2 \\ \alpha & \beta\end{array}\right]$. If the sum of the diagonal elements of $A$ is s, then $\frac{\beta s}{\alpha^2}$ is equal to $..........$.

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Find the particular solution for $2 x y+y^2-2 x^2 \frac{d y}{d x}=0 ; y=2$ when $x =1$

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Choose the correct answer from given four options in each of the Exercise : If $\text{A}=\begin{vmatrix}2&\lambda&-3\\0&2&5\\1&1&3\end{vmatrix},$ then $A ^{-1}$ exists, if :

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Two differentiable functions $f(x)$ and $g(x)$ are such that $f$"$(x) > 0$ and $g$"$(x) < 0$$\forall x \in (a,b)$ and $\int\limits_a^b {f(x)dx\, = } \,\int\limits_a^b g(x)dx\,.\,$ If $f(x) = g(x)$ for $x\,=\,\alpha ,\beta \in (a,b)(\alpha < \beta ),\,$ , then

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Write the direction cosines of a line parallel to the line $\frac{3-x}{3}=\frac{y+2}{-2}=\frac{z+2}{6}$.

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If $\left( {\frac{1}{2},\frac{1}{3},n} \right)$ are the direction cosines of a line, then the value of $n$ is

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The equation of a line passing through the point $(-3, 2, -4)$ and equally inclined to the axes, are

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If $A = \left[ \begin{array}{l}1\\2\\3\end{array} \right],$then $AA' = $

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Let $f(x) = x^2$ and $g(x) = 2^x$. Then, the solution set of the equation $\text{fog(x) = gof(x)}$ is:

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If two vertices of a triangle are $i - j$ and $j + k$, then the third vertex can be

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