Question 511 MarkIf $P(A)=0.2, P(B)=0.5$ then find $P(A \cup B)$ when $A$ and $B$ are independent events.AnswerselfView full question & answer→
Question 521 MarkFind the direction cosines of line $\frac{x-2}{3}=\frac{2 y-4}{6}=\frac{z-1}{-3}$AnswerselfView full question & answer→
Question 531 MarkFind the distance between the parallel planes $x+2 y+3 z-5=0$ and $x+2 y+3 z+7=0$AnswerselfView full question & answer→
Question 541 MarkFind the equation of line $\vec{r}=(\hat{i}+\hat{j}-3 \hat{k})+\lambda(2 \hat{i}+\hat{j}-\hat{k})$ is cartesian form.AnswerselfView full question & answer→
Question 551 MarkFind a unit vector in the direction of sum of vectors $\vec{a}=\hat{i}+2 \hat{j}+\hat{k}$ and $\vec{b}=2 \hat{i}+\hat{j}+3 \hat{k}$AnswerselfView full question & answer→
Question 561 MarkIf the adjacent sides of a parallelogram are denoted by vectors $\hat{i}+\hat{j}+2 \hat{k}$ and $2 \hat{i}+\hat{j}+3 \hat{k}$, then find its area.AnswerselfView full question & answer→
Question 571 MarkFind the area bounded by lines $y=x, x=4$ and $x$-axis.AnswerselfView full question & answer→
Question 581 MarkAn edge of a variable cube is increasing at the rate of $5 cm$ per second. How fast is the volume increasing when the side is $15 cm$.AnswerselfView full question & answer→
Question 591 MarkIf the function $f(x)=x e^x$ then find the value of $f^{\prime \prime}(x)$.AnswerselfView full question & answer→
Question 601 MarkIf $\left[\begin{array}{cc}\lambda-4 & -3 \\ 1 & 6-\lambda\end{array}\right]=\left[\begin{array}{ll}a & -3 \\ 1 & -4\end{array}\right]$, then find the value of $a$.AnswerselfView full question & answer→