JEE MATHEMATICS MCQ: MATHEMATICAL REASONING

1 Easy

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Analyzing +4 | -1

Consider the following two statements.

Statement

p

:

The value of

\sin 120^{\circ}

can be divided by taking

\theta=240^{\circ}

in the equation

2 \sin \frac{\theta}{2}=\sqrt{1+\sin \theta}-\sqrt{1-\sin \theta}

.

Statement

q:

The angles

A, B, C

and

D

of any quadrilateral

A B C D

satisfy the equation

\cos \left(\frac{1}{2}(A+C)\right)+\cos \left(\frac{1}{2}(B+D)\right)=0

Then the truth values of

p

and

q

are respectively.

View answer and explanation

Correct option: A

\mathrm{F}, \mathrm{T}

Option A (F, T) is correct because statement p is false when

\theta = 240^\circ

, and statement q is true because the sum of angles in a quadrilateral is

2\pi

More Questions from MATHEMATICAL REASONING

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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