1
JEE Main 2021 (Online) 24th February Morning Shift
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
The statement among the following that is a tautology is :
A
$$B \to \left[ {A \wedge \left( {A \to B} \right)} \right]$$
B
$$\left[ {A \wedge \left( {A \to B} \right)} \right] \to B$$
C
$$\left[ {A \wedge \left( {A \vee B} \right)} \right]$$
D
$$\left[ {A \vee \left( {A \wedge B} \right)} \right]$$
2
JEE Main 2021 (Online) 24th February Morning Shift
Numerical
+4
-1
Change Language
Let P = $$\left[ {\matrix{ 3 & { - 1} & { - 2} \cr 2 & 0 & \alpha \cr 3 & { - 5} & 0 \cr } } \right]$$, where $$\alpha $$ $$ \in $$ R. Suppose Q = [ qij] is a matrix satisfying PQ = kl3 for some non-zero k $$ \in $$ R.
If q23 = $$ - {k \over 8}$$ and |Q| = $${{{k^2}} \over 2}$$, then a2 + k2 is equal to ______.
Your input ____
3
JEE Main 2021 (Online) 24th February Morning Shift
Numerical
+4
-1
Change Language
The minimum value of $$\alpha $$ for which the
equation $${4 \over {\sin x}} + {1 \over {1 - \sin x}} = \alpha $$ has at least one solution in $$\left( {0,{\pi \over 2}} \right)$$ is .......
Your input ____
4
JEE Main 2021 (Online) 24th February Morning Shift
Numerical
+4
-1
Change Language
If the least and the largest real values of a, for which the
equation z + $$\alpha $$|z – 1| + 2i = 0 (z $$ \in $$ C and i = $$\sqrt { - 1} $$) has a solution, are p and q respectively; then 4(p2 + q2) is equal to __________.
Your input ____
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