Question 11 Mark
The value of expression $\hat{i}, \hat{i}-\hat{j} \cdot \hat{j}+\hat{k} \cdot \hat{k}$ is-
View full question & answer→Question 21 Mark
If $P(A)=0.6, P(B)=0.3$ and $A$ and $B$ are two independent events, the value of $P(A \cap B)$ will be-
View full question & answer→Question 31 Mark
The value of $\int \cot 2 x d x$ will be
View full question & answer→Question 41 Mark
If $y=\cos ^2 x$, then the value of $\frac{d y}{d x}$ is
View full question & answer→Question 51 Mark
If $f: R \rightarrow R, f(x)=2 x+1$, then the value of $f^{-1}(5)$ is
View full question & answer→Question 61 Mark
The direction cosines of $z$ axis are
View full question & answer→Question 71 Mark
If $|\vec{a}-\vec{b}|=|\vec{a}+\vec{b}|$ then the angle between $\vec{a}$ and $\vec{b}$ will be -
View full question & answer→Question 81 Mark
If A and B are independent events and P(A) = 0.2, P(B)=0.3 then the value of P (neither A nor B) will be
Question 91 Mark
The distance of $(2,3,5)$ from $z$-axis is
View full question & answer→Question 101 Mark
If $\vec{a}=\hat{i}+\hat{j}-\hat{k}$ then the value of $|\vec{a}|^2$ will be -
View full question & answer→Question 111 Mark
If matrix $A=\left[\begin{array}{cc}x+y & 3 \\ 4 & y\end{array}\right]=\left[\begin{array}{ll}4 & 3 \\ 4 & 1\end{array}\right]$ then the value of $x$ will be :
View full question & answer→Question 121 Mark
If $x R y \Leftrightarrow y=2 x, \forall x \in N, y \in N$, then R will be
View full question & answer→Question 131 Mark
If $y=\sin x^{\circ}$ then the value of $\frac{d y}{d x}$ is
View full question & answer→Question 141 Mark
A die is thrown once, the probability of getting a number less than 4 is
Question 151 Mark
If $P\left(A^{\prime}\right)=\frac{3}{5}$ and $P(A \cap B)=\frac{1}{5}$ then the value of $P(B / A)$ will be
View full question & answer→Question 161 Mark
The angle between the vectors $\vec{a} \times \vec{b}$ and $\vec{b} \times \vec{a}$ is
View full question & answer→Question 171 Mark
Solution of $\int x \sin x d x$ is-
View full question & answer→Question 181 Mark
If $P(\operatorname{Not} A)=3 / 5$, then the value of $P(A)$ will be
View full question & answer→Question 191 Mark
If $P(A / B)=\frac{2}{5}, P(B)=\frac{1}{5}$, then the value of $P(A \cap B)$ is
View full question & answer→Question 201 Mark
The area bounded by lines y=x and x = 2 in first quadrant is
Question 211 Mark
The value of $\int \cos ^2 x d x$ will be
View full question & answer→Question 221 Mark
If $\vec{a}=\hat{i}+\hat{j}+2 \hat{k}$, then the value of $\vec{a} \cdot \vec{a}$ will be
View full question & answer→Question 231 Mark
The value of $\int \frac{1}{e^x+e^{-x}} d x$ is
View full question & answer→Question 241 Mark
The value of P(X=2) for bernoulli's function $B\left(5, \frac{1}{2}\right)$ is
View full question & answer→Question 251 Mark
If $P(A / B)=\frac{3}{5}$ and $P(B)=\frac{2}{5}$ , then the value of $P(A \cap B)$ is
View full question & answer→Question 261 Mark
The value of $\int_0^{\pi / 2} \frac{\sqrt{\sin x}}{\sqrt{\sin x}+\sqrt{\cos x}} d x$ will be
View full question & answer→Question 271 Mark
The distance of point (1, 2, 3) from origin is
Question 281 Mark
If $|(2 \hat{i}+\hat{j}-\hat{k}) \times(5 \lambda-6 i+j)|=17$ then the value of $\lambda$ is
View full question & answer→Question 291 Mark
The area bounded by curve x + y = 2, x-axis, and y axis is
Question 301 Mark
The value of $\int e^{5 x-3} d x$ is
View full question & answer→Question 311 Mark
If the vectors $a \hat{i}+\hat{j}-2 \hat{k}$ and $2 \hat{i}+3 \hat{j}-\hat{k}$ are perpendicular to each other, then the value of a will be-
View full question & answer→Question 321 Mark
If y= log, x then the value of $\frac{d y}{d x}$ is
View full question & answer→Question 331 Mark
If A is a matrix of order 2 x 3 and B is of 2 × 2, then the order of matrix BA will be-
Question 341 Mark
If $f:R\rightarrow R, f(x)=2x+1 ,$ then the value of $f^{-1}(2)$ is
View full question & answer→Question 351 Mark
The value of $(2 \hat{i}+3 \hat{j}-5 \hat{k}) \cdot(\hat{i}+\hat{j}+\hat{k})$ is
View full question & answer→Question 361 Mark
The area of circle $x^2+y^2=4$ is
View full question & answer→Question 371 Mark
If matrix $A=\left[a_{i j}\right]_{m \times n}$ is a square matrix, then
View full question & answer→Question 381 Mark
The value of $\int \frac{1}{\sin ^2 x \cdot \cos ^2 x} d x$ is
View full question & answer→Question 391 Mark
The value of $\int \sec ^2(2 x+1) d x$ is
View full question & answer→Question 401 Mark
If the events $A$ and $B$ are mutually disjoint then the value of $P(A \cap B)$ is
View full question & answer→Question 411 Mark
If P(E) = 0.35 and $P(E \cup F)$ = 0.6 and E and F are independent events, then P(F) is equal to -
View full question & answer→Question 421 Mark
A and B are two events such that P(A / B) =P(B/A). $\neq 0$ then which of the following is correct-
View full question & answer→Question 431 Mark
If $P(A)=\left(\frac{3}{10}\right), P(B)=\frac{2}{5}$ and $P(A \cup B)=\frac{3}{5}$, then $P\left(\frac{B}{A}\right)+P\left(\frac{A}{B}\right)$ is equal to-
View full question & answer→Question 441 Mark
Which of the following functions is discontinuous function?
Question 451 Mark
If matrix A and B are of the order $m \times n$ and $n \times p$ respectively, then order of AB is
View full question & answer→Question 461 Mark
Solution of $\int \sin 3 x d x$ is
View full question & answer→Question 471 Mark
Area bounded by curve y² = 4x, y-axis and line y = 3 is (in sq units)
Question 481 Mark
If * is a binary operation in $R$ defined as $a ^* b = a + b - ab$, then identity element for "*" will be
View full question & answer→Question 491 Mark
If $f: R \rightarrow R_{,} f(x)=3 x-5$, then the value of $fo f(3)$ is
View full question & answer→Question 501 Mark
Relation R is defined in set N as following:
R = {(a, b) : a = b - 2, b > 6}
Then which of the following is correct.