JEE MATHEMATICS MCQ: MATHEMATICAL REASONING

1 Easy

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Application +4 | -1

The region represented by the inequality

|2 Z-3 i|<|3 Z-2 i|

is

1) the unit disc with its centre at

Z=0

2) the exterior of the unit circle with its centre at

Z=0

3) the interior of a square of side 2 units with its centre at

Z=0

4) the exterior of a square of side 2 units with its centre at

Z=0

View answer and explanation

Correct option: A

Option A (2) is correct because the inequality represents the region outside the unit circle centered at the origin.

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p:A

q:A

\sqrt{3}

p

q

p \rightarrow q

{F_1}(A,\,B,\,C) = \left( {A \wedge \sim B} \right) \vee \left[ { \sim C \wedge \left( {A \vee B} \right)} \right] \vee \sim A

{F_2}(A,\,B) = \left( {A \vee B} \right) \vee (B \to \, \sim \,A)

p

n

q:

n

p \Leftrightarrow q