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Byju's Answer
Standard XII
Mathematics
Direct Method of Validation
If c denote...
Question
If
c
denotes the contradiction then dual of the compound statement
∼
p
∧
(
q
∨
t
)
is
A
∼
p
∨
(
q
∧
t
)
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B
∼
p
∧
(
q
∨
t
)
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C
p
∨
(
∼
q
∨
t
)
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D
∼
p
∨
(
q
∧
c
)
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Solution
The correct option is
A
∼
p
∨
(
q
∧
t
)
In dual of statement the following changes
∨
to
∧
∧
to
∨
T
to
F
F
to
T
∴
Dual of
∼
p
∧
(
q
∨
c
)
=
∼
p
∨
(
q
∧
t
)
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Similar questions
Q.
Write the dual of following:
∼
p
∧
(
q
∧
c
)
where
t
stands for tautology and
c
stands for contradiction
Q.
Statements
(
p
→
q
)
↔
[
{
(
p
∧
∼
q
)
∧
t
}
∨
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]
is
Q.
Write the dual of following:
(
p
∧
c
)
∧
(
q
∧
c
)
where
t
stands for tautology and
c
stands for contradiction
Q.
A square loop of conducting wire is placed near a long straight current carrying wire as shown. Match the statements in column-I with the corresponding results in column-II.
Column-I
Column-II
(A) If the magnitude of current I is increased
(P) Induced current in the loop will be clockwise
(B) If the magnitude of current I is decreased
(Q) Induced current in the loop will be anticlockwise
(C) If the loop is moved away from the wire
(R) wire will attract the loop
(D) If the loop is moved towards the wire
(S) wire will repel the loop
(T) Torque about centre of mass of loop is zero due to megnetic force
Q.
If the statement
(
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)
→
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→
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,
r
respectively, can be
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