1
CBSE 12th Mathematics Delhi Set 1 - 2024
Subjective
+3
-0
(a) Evaluate: $\int_0^\pi \frac{e^{\cos x}}{e^{\cos x}+e^{-\cos x}} d x$
OR
(b) Find: $\int \frac{2 x+1}{(x+1)^2(x-1)} d x$
2
CBSE 12th Mathematics Delhi Set 1 - 2024
Subjective
+3
-0
(a) Find the particular solution of the differential equation $\frac{d y}{d x}-2 x y=3^{x^2} e^{x^2} ; y(0)=5$.
OR
(b) Solve the following differential equation: $$ x^2 d y+y(x+y) d x=0 $$
3
CBSE 12th Mathematics Delhi Set 1 - 2024
Subjective
+3
-0
Find a vector of magnitude 4 units perpendicular to each of the vectors $2 \hat{i}-\hat{j}+\hat{k}$ and $\hat{i}+\hat{j}-\hat{k}$ and hence verify your answer.
4
CBSE 12th Mathematics Delhi Set 1 - 2024
Subjective
+3
-0
The random variable $X$ has the following probability distribution where $a$ and $b$ are some constants:
X | 1 | 2 | 3 | 4 | 5 |
---|---|---|---|---|---|
P(X) | 0.2 | a | a | 0.2 | b |
If the mean $E(X)=3$, then find values of $a$ and $b$ and hence determine $P(X \geq 3)$.
Paper analysis
Total Questions
Mathematics
38
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