1
BITSAT 2024
MCQ (Single Correct Answer)
+3
-1
The coefficient of $ x^{n} $ in the expansion of $ \frac{e^{7 x}+e^{x}}{e^{3 x}} $ is
A
$ \frac{4^{n-1}+(-2)^{n}}{n!} $
B
$ \frac{4^{n-1}+2^{n}}{n!} $
C
$ \frac{4^{n}+(-2)^{n}}{n!} $
D
$ \frac{4^{n-1}+(-2)^{n-1}}{n!} $
2
BITSAT 2024
MCQ (Single Correct Answer)
+3
-1
The modulus of the complex number $ z $ such that $ |z+3-i|=1 $ and $ \arg (z)=\pi $ is equal to
A
3
B
2
C
9
D
4
3
BITSAT 2024
MCQ (Single Correct Answer)
+3
-1
$ A B C $ is a triangular park with $ A B=A C=100 \mathrm{~m} $. A TV tower stands at the mid-point of $ B C $. The angles of elevation of the top of the tower at $ A $, $ B, C $ are $ 45^{\circ}, 60^{\circ}, 60^{\circ} $ respectively. The height of the tower is
A
50 m
B
$ 50 \sqrt{3} \mathrm{~m} $
C
$ 50 \sqrt{2} \mathrm{~m} $
D
$ 50(3-\sqrt{3}) \mathrm{m} $
4
BITSAT 2024
MCQ (Single Correct Answer)
+3
-1
How many different nine digit numbers can be formed from the number 223355888 by rearranging its digits so that the odd digits occupy even positions
A
16
B
36
C
60
D
100
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