1
CBSE 12th Mathematics Delhi Set 1 - 2024
MCQ (Single Correct Answer)
+1
-0

The value of $\int_{-1}^1 x|x| d x$ is

A
$\frac{1}{6}$
B
$\frac{1}{3}$
C
$-\frac{1}{6}$
D
$0$
2
CBSE 12th Mathematics Delhi Set 1 - 2024
MCQ (Single Correct Answer)
+1
-0

Area of the region bounded by curve $y^2=4 x$ and the $X$-axis between $x=0$ and $x=1$ is

A
$\frac{2}{3}$
B
$\frac{8}{3}$
C
$3$
D
$\frac{4}{3}$
3
CBSE 12th Mathematics Delhi Set 1 - 2024
MCQ (Single Correct Answer)
+1
-0

The order of the differential equation $\frac{d^4 y}{d x^4}-\sin \left(\frac{d^2 y}{d x^2}\right)=5$

A
4
B
3
C
2
D
not defined
4
CBSE 12th Mathematics Delhi Set 1 - 2024
MCQ (Single Correct Answer)
+1
-0

The position vectors of points P and Q are $\vec{p}$ and $\vec{q}$ respectively. The point $R$ divides line segment $P Q$ in the ratio $3: 1$ and S is the mid-point of line segment PR. The position vector of $S$ is

A
$\frac{\vec{p}+3 \vec{q}}{4}$
B
$\frac{\vec{p}+3 \vec{q}}{8}$
C
$\frac{5 \vec{p}+3 \vec{q}}{4}$
D
$\frac{5 \vec{p}+3 \vec{q}}{8}$
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