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Byju's Answer
Standard XII
Mathematics
Fundamental Laws of Logarithms
If p and q ar...
Question
If
p
and
q
are real so that the system of equations
p
z
+
4
y
+
z
=
0
,
2
y
+
3
z
=
1
and
3
x
–
q
z
=
–
2
has infinite solutions then
√
q
2
−
p
2
is equal to
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Solution
D
=
∣
∣ ∣
∣
p
4
1
0
2
3
3
0
−
q
∣
∣ ∣
∣
=
0
⇒
p
q
=
15
D
1
=
∣
∣ ∣
∣
0
4
1
1
2
3
−
2
0
−
q
∣
∣ ∣
∣
=
0
⇒
q
=
5
∴
p
=
3
∴
√
q
2
−
p
2
=
√
25
−
9
=
4
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2
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