1
JEE Main 2019 (Online) 8th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
Let A and B be two non-null events such that A $$ \subset $$ B . Then, which of the following statements is always correct?
A
P(A|B) = 1
B
P(A|B) = P(B) – P(A)
C
P(A|B) $$ \le $$ P(A)
D
P(A|B) $$ \ge $$ P(A)
2
JEE Main 2019 (Online) 8th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
All possible numbers are formed using the digits 1, 1, 2, 2, 2, 2, 3, 4, 4 taken all at a time. The number of such numbers in which the odd digits occupy even places is :
A
175
B
162
C
160
D
180
3
JEE Main 2019 (Online) 8th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
Let $$A = \left( {\matrix{ {\cos \alpha } & { - \sin \alpha } \cr {\sin \alpha } & {\cos \alpha } \cr } } \right)$$, ($$\alpha $$ $$ \in $$ R)
such that $${A^{32}} = \left( {\matrix{ 0 & { - 1} \cr 1 & 0 \cr } } \right)$$ then a value of $$\alpha $$ is
A
0
B
$${\pi \over {16}}$$
C
$${\pi \over {32}}$$
D
$${\pi \over {64}}$$
4
JEE Main 2019 (Online) 8th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
The area (in sq. units) of the region
A = { (x, y) $$ \in $$ R × R|  0 $$ \le $$ x $$ \le $$ 3, 0 $$ \le $$ y $$ \le $$ 4, y $$ \le $$ x2 + 3x} is :
A
$${{59} \over 6}$$
B
$${{26} \over 3}$$
C
8
D
$${{53} \over 6}$$

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