1
BITSAT 2024
MCQ (Single Correct Answer)
+3
-1
The value of definite integral $ \int_{0}^{\pi / 2} \log (\tan x) d x $ is .
A
0
B
$ \frac{\pi}{4} $
C
$ \frac{\pi}{2} $
D
$ \pi $
2
BITSAT 2024
MCQ (Single Correct Answer)
+3
-1
If the number of available constraints is 3 and the number of parameters to be optimise is 4 , then
A
the objective function can be optimised
B
the constraint are short in number
C
the solution is problem oriented
D
None of the above
3
BITSAT 2024
MCQ (Single Correct Answer)
+3
-1
The locus of the mid-point of a chord of the circle $ x^{2}+y^{2}=4 $, which subtends a right angle at the origin is
A
$ x+y=2 $
B
$ x^{2}+y^{2}=1 $
C
$ x^{2}+y^{2}=2 $
D
$ x+y=1 $
4
BITSAT 2024
MCQ (Single Correct Answer)
+3
-1
A person invites a party of 10 friends at dinner and place so that 4 are on one round table and 6 on the other round table. The number of ways in which he can arrange the guests is
A
$ \frac{10!}{6!} $
B
$ \frac{10!}{24} $
C
$ \frac{9!}{24} $
D
None of these
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