1
JEE Main 2022 (Online) 28th June Morning Shift
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language

Let AB and PQ be two vertical poles, 160 m apart from each other. Let C be the middle point of B and Q, which are feet of these two poles. Let $${\pi \over 8}$$ and $$\theta$$ be the angles of elevation from C to P and A, respectively. If the height of pole PQ is twice the height of pole AB, then tan2$$\theta$$ is equal to

A
$${{3 - 2\sqrt 2 } \over 2}$$
B
$${{3 + \sqrt 2 } \over 2}$$
C
$${{3 - 2\sqrt 2 } \over 4}$$
D
$${{3 - \sqrt 2 } \over 4}$$
2
JEE Main 2022 (Online) 28th June Morning Shift
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language

Let p, q, r be three logical statements. Consider the compound statements

$${S_1}:(( \sim p) \vee q) \vee (( \sim p) \vee r)$$ and

$${S_2}:p \to (q \vee r)$$

Then, which of the following is NOT true?

A
If S2 is True, then S1 is True
B
If S2 is False, then S1 is False
C
If S2 is False, then S1 is True
D
If S1 is False, then S2 is False
3
JEE Main 2022 (Online) 28th June Morning Shift
Numerical
+4
-1
Change Language

Let R1 and R2 be relations on the set {1, 2, ......., 50} such that

R1 = {(p, pn) : p is a prime and n $$\ge$$ 0 is an integer} and

R2 = {(p, pn) : p is a prime and n = 0 or 1}.

Then, the number of elements in R1 $$-$$ R2 is _______________.

Your input ____
4
JEE Main 2022 (Online) 28th June Morning Shift
Numerical
+4
-1
Change Language

The number of real solutions of the equation $${e^{4x}} + 4{e^{3x}} - 58{e^{2x}} + 4{e^x} + 1 = 0$$ is ___________.

Your input ____
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