Available Questions 450 found Page 14 of 23
Standalone Questions
#832
Mathematics
Linear Programming
MCQ_SINGLE
APPLY
2023
KNOWLEDGE
1 Marks
15. The solution set of the inequation $3x+5y<7$ is:
(A) whole $xy$-plane except the points lying on the line $3x+5y=7$.
(B) whole $xy$-plane along with the points lying on the line $3x+5y=7$.
(C) open half plane containing the origin except the points of line $3x+5y=7$.
(D) open half plane not containing the origin.
Key:
Sol:
Sol:
#831
Mathematics
Probability
MCQ_SINGLE
APPLY
2023
KNOWLEDGE
1 Marks
If $P(A\cap B)=\frac{1}{8}$ and $P(\bar{A})=\frac{3}{4}$ then $P(\frac{B}{A})$ is equal to :
(A) $\frac{1}{2}$
(B) $\frac{1}{6}$
(C) $\frac{1}{3}$
(D) $\frac{2}{3}$
Key:
Sol:
Sol:
#829
Mathematics
Probability
MCQ_SINGLE
APPLY
2023
KNOWLEDGE
1 Marks
If\~P(\frac{A}{B})=0\cdot3, P(A)=0\cdot4 and P(B)=0\cdot8, then P(\frac{B}{A}) is equal to :
(A) 0.6
(B) 0.3
(C) 0.06
(D) 0.4
Key:
Sol:
Sol:
#828
Mathematics
Probability
MCQ_SINGLE
UNDERSTAND
2023
KNOWLEDGE
1 Marks
Five fair coins are tossed simultaneously. The probability of the events that atleast one head comes up is
(A) 27/32
(B) 5/32
(C) 31/32
(D) 1/32
Key:
Sol:
Sol:
#827
Mathematics
Probability
MCQ_SINGLE
UNDERSTAND
2023
KNOWLEDGE
1 Marks
If for any two events A and B, P(A)=4/5 and P(A ∩ B)=7/10, then P(B/A) is equal to
(A) 1/10
(B) 1/8
(C) 7/8
(D) 17/20
Key:
Sol:
Sol:
#826
Mathematics
Three Dimensional Geometry
MCQ_SINGLE
APPLY
2023
KNOWLEDGE
1 Marks
The value of $\lambda$ for which the angle between the lines $\vec{r}=\hat{i}+\hat{j}+\hat{k}+p(2\hat{i}+\hat{j}+2\hat{k})$ and $\vec{r}=(1+q)\hat{i}+(1+q\lambda)\hat{j}+(1+q)\hat{k}$ is $\frac{\pi}{2}$ :
(A) $-4$
(B) 4
(C) 2
(D) $-2$
Key:
Sol:
Sol:
#825
Mathematics
Three Dimensional Geometry
MCQ_SINGLE
APPLY
2023
KNOWLEDGE
1 Marks
If the direction cosines of a line are $(\frac{1}{a}, \frac{1}{a}, \frac{1}{a})$ then:
(A) $0<a<1$
(B) $a>2$
(C) $a>0$
(D) $a=\pm\sqrt{3}$
Key: D
Sol:
Sol:
#824
Mathematics
Three Dimensional Geometry
MCQ_SINGLE
REMEMBER
2023
KNOWLEDGE
1 Marks
14. Distance of the point $(p, q, r)$ from y-axis is :
(A) q
(B) q
(C) $|q|+|r|$
(D) $\sqrt{p^{2}+r^{2}}$
Key:
Sol:
Sol:
#823
Mathematics
Three Dimensional Geometry
MCQ_SINGLE
UNDERSTAND
2023
AISSCE(Board Exam)
KNOWLEDGE
1 Marks
Direction cosines of the line $\frac{x-1}{2}=\frac{1-y}{3}=\frac{2z-1}{12}$ are:
(A) $\frac{2}{7},\frac{3}{7},\frac{6}{7}$
(B) $\frac{2}{\sqrt{157}},-\frac{3}{\sqrt{157}},\frac{12}{\sqrt{157}}$
(C) $\frac{2}{7},-\frac{3}{7},-\frac{6}{7}$
(D) $\frac{2}{7},-\frac{3}{7},\frac{6}{7}$
Key:
Sol:
Sol:
#822
Mathematics
Three Dimensional Geometry
MCQ_SINGLE
APPLY
2023
KNOWLEDGE
1 Marks
The angle between the lines 2x=3y=-z and 6x=-y=-4z is
(A) 0°
(B) 30°
(C) 45°
(D) 90°
Key:
Sol:
Sol:
#821
Mathematics
Three Dimensional Geometry
MCQ_SINGLE
APPLY
2023
KNOWLEDGE
1 Marks
If a line makes angles of 90°, 135° and 45° with the x, y and z axes respectively, then its direction cosines are
(A) 0, -1/√2, 1/√2
(B) -1/√2, 0, 1/√2
(C) 1/√2, 0, -1/√2
(D) 0, 1/√2, 1/√2
Key:
Sol:
Sol:
#820
Mathematics
Vector Algebra
MCQ_SINGLE
APPLY
2023
AISSCE(Board Exam)
KNOWLEDGE
1 Marks
If $\vec{a}+\vec{b}=\hat{i}$ and $\vec{a}=2\hat{i}-2\hat{j}+2\hat{k}$, then |$\vec{b}$| equals:
(A) \sqrt{14}
(B) 3
(C) \sqrt{12}
(D) \sqrt{17}
Key:
Sol:
Sol:
#819
Mathematics
Vector Algebra
MCQ_SINGLE
UNDERSTAND
2023
AISSCE(Board Exam)
KNOWLEDGE
1 Marks
The value of $(\hat{i}\times\hat{j})\cdot \hat{j}+(\hat{j}\times\hat{i}) \hat{k}:$
(A) 2
(B) 0
(C) 1
(D) -1
Key:
Sol:
Sol:
#818
Mathematics
Vector Algebra
MCQ_SINGLE
APPLY
2023
AISSCE(Board Exam)
KNOWLEDGE
1 Marks
The value of p for which the vectors $2\hat{i}+p\hat{j}+\hat{k}$ and $-4\hat{i}-6\hat{j}+26\hat{k}$ are perpendicular to each other, is:
(A) 3
(B) -3
(C) $-\frac{17}{3}$
(D) $\frac{17}{3}$
Key:
Sol:
Sol:
#817
Mathematics
Vector Algebra
MCQ_SINGLE
REMEMBER
2023
KNOWLEDGE
1 Marks
The magnitude of the vector 6î - 2î + 3ê is
(A) 1
(B) 5
(C) 7
(D) 12
Key:
Sol:
Sol:
#816
Mathematics
Vector Algebra
MCQ_SINGLE
REMEMBER
2023
AISSCE(Board Exam)
KNOWLEDGE
1 Marks
Two vectors $\vec{a} = a_1\hat{i} + a_2\hat{j} + a_3\hat{k}$ and $\vec{b} = b_1\hat{i} + b_2\hat{j} + b_3\hat{k}$ are collinear if
(A) a₁b₁ + a₂b₂ + a₃b₃ = 0
(B) a₁/b₁ = a₂/b₂ = a₃/b₃
(C) a₁=b₁, a₂=b₂, a₃=b₃
(D) a₁+a₂+a₃ = b₁+b₂+b₃
Key:
Sol:
Sol:
#815
Mathematics
Differential Equations
MCQ_SINGLE
APPLY
2023
KNOWLEDGE
1 Marks
What is the product of the order and degree of the differential equation $\frac{d^{2}y}{dx^{2}}\sin y+(\frac{dy}{dx})^{3}\cos y=\sqrt{y}$ ?
(A) 3
(B) 2
(C) 6
(D) not defined
Key:
Sol:
Sol:
#814
Mathematics
Differential Equations
MCQ_SINGLE
UNDERSTAND
2023
KNOWLEDGE
1 Marks
The solution of the differential equation $\frac{dx}{x}+\frac{dy}{y}=0$ is:
(A) $\frac{1}{x}+\frac{1}{y}=C$
(B) $\log x-\log y=C$
(C) $xy=C$
(D) $x+y=C$
Key:
Sol:
Sol:
#813
Mathematics
Differential Equations
MCQ_SINGLE
APPLY
2023
KNOWLEDGE
1 Marks
11. The order and degree (if defined) of the differential equation, $(\frac{d^{2}y}{dx^{2}})^{2}+(\frac{dy}{dx})^{2}=x\sin(\frac{dy}{dx})$ respectively are :
(A) 2, 2
(B) 1, 3
(C) 2, 3
(D) 2, degree not defined
Key:
Sol:
Sol:
#812
Mathematics
Differential Equations
MCQ_SINGLE
APPLY
2023
KNOWLEDGE
1 Marks
The integrating factor for solving the differential equation $x\frac{dy}{dx}-y=2x^{2}$ is:
(A) $e^{-y}$
(B) $e^{-x}$
(C) $x$
(D) $\frac{1}{x}$
Key: D
Sol:
Sol: