1
JEE Main 2021 (Online) 17th March Morning Shift
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
If $$A = \left( {\matrix{ 0 & {\sin \alpha } \cr {\sin \alpha } & 0 \cr } } \right)$$ and $$\det \left( {{A^2} - {1 \over 2}I} \right) = 0$$, then a possible value of $$\alpha$$ is :
A
$${\pi \over 4}$$
B
$${\pi \over 6}$$
C
$${\pi \over 2}$$
D
$${\pi \over 3}$$
2
JEE Main 2021 (Online) 17th March Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language
Team 'A' consists of 7 boys and n girls and Team 'B' has 4 boys and 6 girls. If a total of 52 single matches can be arranged between these two teams when a boy plays against a boy and a girl plays against a girl, then n is equal to :
A
5
B
2
C
4
D
6
3
JEE Main 2021 (Online) 17th March Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language
The area of the triangle with vertices A(z), B(iz) and C(z + iz) is :
A
1
B
$${1 \over 2}$$| z |2
C
$${1 \over 2}$$| z + iz |2
D
$${1 \over 2}$$
4
JEE Main 2021 (Online) 17th March Morning Shift
Numerical
+4
-1
Change Language
If (2021)3762 is divided by 17, then the remainder is __________.
Your input ____
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