MCQ 11 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
MCQ 21 Mark
The distance of $(2,3,5)$ from $z$-axis is
- A
$\sqrt{2}$
- B
$\sqrt{3}$
- C
$\sqrt{7}$
- D
View full question & answer→MCQ 31 Mark
If $\vec{a}=\hat{i}+\hat{j}-\hat{k}$ then the value of $|\vec{a}|^2$ will be -
View full question & answer→MCQ 41 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→MCQ 51 Mark
If $x R y \Leftrightarrow y=2 x, \forall x \in N, y \in N$, then R will be
View full question & answer→MCQ 61 Mark
If $P(\operatorname{Not} A)=3 / 5$, then the value of $P(A)$ will be
- A
$\frac{2}{5}$
- B
$\frac{1}{5}$
- C
$\frac{4}{5}$
- D
View full question & answer→MCQ 71 Mark
If $P(A / B)=\frac{2}{5}, P(B)=\frac{1}{5}$, then the value of $P(A \cap B)$ is
- A
$\frac{1}{5}$
- B
$\frac{2}{5}$
- C
$\frac{2}{25}$
- D
$\frac{1}{2}$
View full question & answer→MCQ 81 Mark
The area bounded by lines y=x and x = 2 in first quadrant is
MCQ 91 Mark
The value of $\int \cos ^2 x d x$ will be
View full question & answer→MCQ 101 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→MCQ 111 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→MCQ 121 Mark
The angle between the vectors $\vec{a} \times \vec{b}$ and $\vec{b} \times \vec{a}$ is
View full question & answer→MCQ 131 Mark
Solution of $\int x \sin x d x$ is-
- A
- B
- C
$x \sin x-6 \cos x+c$
- D
View full question & answer→MCQ 141 Mark
The area of circle $x^2+y^2=4$ is
- A
$4 \pi$ sq. unit
- B
$\pi$ sq. unit
- C
$16 \pi$ sq. unit
- D
$8 \pi$ sq. unit
View full question & answer→MCQ 151 Mark
If matrix $A=\left[a_{i j}\right]_{m \times n}$ is a square matrix, then
- A
$m > n$
- B
$n > m$
- C
$m = n$
- D
View full question & answer→MCQ 161 Mark
The value of $\int \frac{1}{\sin ^2 x \cdot \cos ^2 x} d x$ is
- A
$\sec x+\tan x+c$
- B
$\sin x+\cos x+c$
- C
- D
$\tan x-\cot x+c$
View full question & answer→MCQ 171 Mark
The value of $\int \sec ^2(2 x+1) d x$ is
View full question & answer→MCQ 181 Mark
If the events $A$ and $B$ are mutually disjoint then the value of $P(A \cap B)$ is
- A
$P(A)-P(B)$
- B
- C
$P(A)+P(B)$
- D
View full question & answer→MCQ 191 Mark
If $y=\sin x^{\circ}$ then the value of $\frac{d y}{d x}$ is
View full question & answer→MCQ 201 Mark
A die is thrown once, the probability of getting a number less than 4 is
- A
$\frac{1}{3}$
- B
$\frac{1}{2}$
- C
$\frac{1}{6}$
- D
View full question & answer→MCQ 211 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
- A
$\frac{1}{10}$
- B
$\frac{3}{25}$
- C
$\frac{1}{2}$
- D
View full question & answer→MCQ 221 Mark
The distance of point (a, β, γ) from y axis is -
MCQ 231 Mark
If $y=\cos ^2 x$, then the value of $\frac{d y}{d x}$ is
View full question & answer→MCQ 241 Mark
If $f: R \rightarrow R, f(x)=2 x+1$, then the value of $f^{-1}(5)$ is
View full question & answer→MCQ 251 Mark
The direction cosines of $z$ axis are
- A
$1,0,0$
- B
$0,1,0$
- C
$1,1,0$
- D
$0,0,1$
View full question & answer→MCQ 261 Mark
If $|\vec{a}-\vec{b}|=|\vec{a}+\vec{b}|$ then the angle between $\vec{a}$ and $\vec{b}$ will be -
- A
$90^{\circ}$
- B
$45^{\circ}$
- C
$30^{\circ}$
- D
View full question & answer→MCQ 271 Mark
The value of $\int \frac{1}{e^x+e^{-x}} d x$ is
- A
$\tan ^{-1}\left(e^x\right)+c$
- B
$\tan ^{-1}\left(e^{-x}\right)+c$
- C
$\log \left(e^x+e^{-x}\right)+c$
- D
View full question & answer→MCQ 281 Mark
The value of P(X=2) for bernoulli's function $B\left(5, \frac{1}{2}\right)$ is
- A
$\frac{5}{13}$
- B
$\frac{7}{32}$
- C
$\frac{5}{16}$
- D
$\frac{5}{32}$
View full question & answer→MCQ 291 Mark
If $P(A / B)=\frac{3}{5}$ and $P(B)=\frac{2}{5}$ , then the value of $P(A \cap B)$ is
- A
$\frac{6}{25}$
- B
$\frac{1}{5}$
- C
$\frac{1}{25}$
- D
$\frac{3}{25}$
View full question & answer→MCQ 301 Mark
The value of $\int_0^{\pi / 2} \frac{\sqrt{\sin x}}{\sqrt{\sin x}+\sqrt{\cos x}} d x$ will be
- A
$\frac{\pi}{2}$
- B
- C
$\pi$
- D
$\frac{\pi}{4}$
View full question & answer→MCQ 311 Mark
The distance of point (1, 2, 3) from origin is
MCQ 321 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→MCQ 331 Mark
The area bounded by curve x + y = 2, x-axis, and y axis is
MCQ 341 Mark
The value of $\int e^{5 x-3} d x$ is
View full question & answer→MCQ 351 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-
- A
- B
- C
$\frac{5}{2}$
- D
$\frac{-5}{2}$
View full question & answer→MCQ 361 Mark
If y= log, x then the value of $\frac{d y}{d x}$ is
- A
$\frac{1}{x}$
- B
$\frac{5}{x}$
- C
- D
View full question & answer→MCQ 371 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-
MCQ 381 Mark
If f:R→R, f(x)=2x+1 , then the value of f-1 (2) is
MCQ 391 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→MCQ 401 Mark
If $f: R \rightarrow R_{,} f(x)=3 x-5$, then the value of $fo f(3)$ is
View full question & answer→MCQ 411 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.
- A
$(2,4) \in R$
- B
$(3,8) \in R$
- C
$(6,8) \in R$
- D
$(8,7) \in R$
View full question & answer→MCQ 421 Mark
If $P(A)=\left(\frac{1}{2}\right), P(B)=0$, then the value of $P(A / B)$ will be
View full question & answer→MCQ 431 Mark
If $A \subset B$, then the value of $P(A \cap B)$ will be-
View full question & answer→MCQ 441 Mark
If $A$ and $B$ are two independent events and $P ( A )=\frac{2}{5}, P ( A \cap B )=\frac{1}{5}$, then the value of $P ( B )$ will be
- A
$\frac{1}{5}$
- B
$\frac{1}{2}$
- C
- D
$\frac{2}{25}$
View full question & answer→MCQ 451 Mark
The distance of point (3, 5, 7) from x axis is
MCQ 461 Mark
The value of $\hat{i} \cdot(\hat{j} \times \hat{k})+\hat{j} \cdot(\hat{i} \times \hat{k})+\hat{k}(\hat{i} \times \hat{j})$ is
View full question & answer→MCQ 471 Mark
The area of region bounded by y=sinx and x-axis is, when 0 ≤ x ≤ 2n (in sq units)
MCQ 481 Mark
The value of $\int_{-\pi / 2}^{\pi / 2}\left(x^3+x \cos x+\tan 5 x+1\right) d x$ is
View full question & answer→MCQ 491 Mark
If $y=x^x$, then the value of $\frac{d y}{d x}$ will be
- A
$x \cdot x^{x-1}$
- B
- C
$x^x \cdot \log x$
- D
$x^x(1+\log x)$
View full question & answer→MCQ 501 Mark
The value of expression $\hat{i}, \hat{i}-\hat{j} \cdot \hat{j}+\hat{k} \cdot \hat{k}$ is-
View full question & answer→