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Byju's Answer
Standard XIII
Mathematics
Definition of Relations
Let R=x,y: x,...
Question
Let
R
=
(
(
x
,
y
)
:
x
,
y
∈
Z
,
y
=
2
x
−
4
}
.
If (p, -2) and
(
q
2
,
4
)
∈
R
and pq < 0 , then the value of p =
and q =
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Solution
Given that
R
=
(
(
x
,
y
)
:
x
,
y
∈
Z
,
y
=
2
x
−
4
}
.
(
p
,
−
2
)
∈
R
⇒
−
2
=
2
p
−
4
⇒
2
p
=
2
⇒
p
=
1
(
q
2
,
4
)
∈
R
⇒
4
=
2
q
2
−
4
⇒
q
2
=
4
⇒
q
=
±
2
Since
,
p
and
q
are
of
opposite
signs
q
=
−
2
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Similar questions
Q.
Let
R
=
(
(
x
,
y
)
:
x
,
y
∈
Z
,
y
=
2
x
−
4
}
.
If (p, -2) and
(
q
2
,
4
)
∈
R
and pq < 0 , then the value of p =
and q =