This chapter is currently out of syllabus
1
JEE Main 2018 (Online) 15th April Evening Slot
+4
-1
Out of Syllabus
Consider the following two statements :

Statement p :
The value of sin 120o can be derived by taking $$\theta = {240^o}$$ in the equation
2sin$${\theta \over 2} = \sqrt {1 + \sin \theta } - \sqrt {1 - \sin \theta }$$

Statement q :
The angles A, B, C and D of any quadrilateral ABCD satisfy the equation
cos$$\left( {{1 \over 2}\left( {A + C} \right)} \right) + \cos \left( {{1 \over 2}\left( {B + D} \right)} \right) = 0$$

Then the truth values of p and q are respectively :
A
F, T
B
T, F
C
T, T
D
F, F
2
JEE Main 2018 (Online) 15th April Morning Slot
+4
-1
Out of Syllabus
If (p $$\wedge$$ $$\sim$$ q) $$\wedge$$ (p $$\wedge$$ r) $$\to$$ $$\sim$$ p $$\vee$$ q is false, then the truth values of $$p, q$$ and $$r$$ are, respectively :
A
F, T, F
B
T, F, T
C
T, T, T
D
F, F, F
3
JEE Main 2017 (Online) 9th April Morning Slot
+4
-1
Out of Syllabus
Contrapositive of the statement

‘If two numbers are not equal, then their squares are not equal’, is :
A
If the squares of two numbers are equal, then the numbers are equal.
B
If the squares of two numbers are equal, then the numbers are not equal.
C
If the squares of two numbers are not equal, then the numbers are not equal.
D
If the squares of two numbers are not equal, then the numbers are equal.
4
JEE Main 2017 (Online) 8th April Morning Slot
+4
-1
Out of Syllabus
The proposition $$\left( { \sim p} \right) \vee \left( {p \wedge \sim q} \right)$$ is equivalent to :
A
p $$\vee$$ ~ q
B
p $$\to$$ ~ q
C
p $$\wedge$$ ~ q
D
q $$\to$$ p
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