Question 512 MarksFind the area of that parallelogram whose diagonals are denoted by vectors $2 \hat{i}-\hat{j}+5 \hat{k}$ and $3 \hat{i}+\hat{j}+2 \hat{k}$.AnswerselfView full question & answer→
Question 522 MarksIf $P ( A )=0.6, P ( B )=0.3, P ( A \cap B )=0.2$, then find the value of $P$ (neither $A$ nor $B$ ).AnswerselfView full question & answer→
Question 532 MarksProve that if $A$ and $B$ are two independent events, then $A ^{\prime}$ and $B ^{\prime}$ will also be independent.AnswerselfView full question & answer→
Question 542 MarksFind the unit vector along vector $\hat{i}+\hat{j}+2 \hat{k}$.AnswerselfView full question & answer→
Question 552 MarksSolve the differential equation $\frac{d y}{d x}=\frac{x(2 \cos x+1)}{\sin y+y \cos y}$.AnswerselfView full question & answer→
Question 562 MarksFind the common area between two parabolas $y=x^2$ and $x=y^2$.AnswerselfView full question & answer→
Question 572 MarksFind the value of $\int \frac{x \tan ^{-1} x}{\left(1+x^2\right)^{3 / 2}} d x$.AnswerselfView full question & answer→
Question 582 MarksFind the maximum value of $\sin \theta+\cos \theta$.AnswerselfView full question & answer→
Question 592 MarksFind the interval in which functions $y=x^2 e^{-x}$ is increasing.AnswerselfView full question & answer→
Question 602 MarksFind the adjoint matrix of matrix $\left[\begin{array}{ll}1 & 2 \\ 3 & 4\end{array}\right]$.AnswerselfView full question & answer→
Question 612 MarksProve that $\left|\begin{array}{ccc}a & c & a+c \\ a+b & b & a \\ b & b+c & c\end{array}\right|=4 a b c$.AnswerselfView full question & answer→
Question 622 MarksFind $x, y, z$ in $\left[\begin{array}{cc}x+y & 2 \\ 5+z & x y\end{array}\right]=\left[\begin{array}{ll}6 & 2 \\ 5 & 8\end{array}\right]$AnswerselfView full question & answer→
Question 632 MarksIf A = {1, 2} and B = {3, 4} then find the number of relations from A to B.AnswerselfView full question & answer→
Question 642 MarksIf $\theta$ is the angle between the two units vectors $\vec{a}$ and $\vec{b}$ then prove that $\sin \frac{\theta}{2}=\frac{1}{2}|\vec{a}-\vec{b}|$.AnswerselfView full question & answer→
Question 652 MarksA coin is tossed three times. Find the mean for number of heads.AnswerselfView full question & answer→