1
JEE Main 2022 (Online) 25th June Evening Shift
Numerical
+4
-1
Change Language

The neutralization occurs when 10 mL of 0.1M acid 'A' is allowed to react with 30 mL of 0.05 M base M(OH)2. The basicity of the acid 'A' is __________.

[M is a metal]

Your input ____
2
JEE Main 2022 (Online) 25th June Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

Let $$A = \{ x \in R:|x + 1| < 2\} $$ and $$B = \{ x \in R:|x - 1| \ge 2\} $$. Then which one of the following statements is NOT true?

A
$$A - B = ( - 1,1)$$
B
$$B - A = R - ( - 3,1)$$
C
$$A \cap B = ( - 3, - 1]$$
D
$$A \cup B = R - [1,3)$$
3
JEE Main 2022 (Online) 25th June Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

Let a, b $$\in$$ R be such that the equation $$a{x^2} - 2bx + 15 = 0$$ has a repeated root $$\alpha$$. If $$\alpha$$ and $$\beta$$ are the roots of the equation $${x^2} - 2bx + 21 = 0$$, then $${\alpha ^2} + {\beta ^2}$$ is equal to :

A
37
B
58
C
68
D
92
4
JEE Main 2022 (Online) 25th June Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

Let z1 and z2 be two complex numbers such that $${\overline z _1} = i{\overline z _2}$$ and $$\arg \left( {{{{z_1}} \over {{{\overline z }_2}}}} \right) = \pi $$. Then :

A
$$\arg {z_2} = {\pi \over 4}$$
B
$$\arg {z_2} = - {{3\pi } \over 4}$$
C
$$\arg {z_1} = {\pi \over 4}$$
D
$$\arg {z_1} = - {{3\pi } \over 4}$$
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