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Byju's Answer
Standard XII
Mathematics
Area between Two Curves
If pbcaqcabr ...
Question
If
p
b
c
a
q
c
a
b
r
=
0
,
find
the
value
of
p
p
-
a
+
q
q
-
b
+
r
r
-
c
,
p
≠
a
,
q
≠
b
,
r
≠
c
.
Open in App
Solution
Let
∆
=
p
b
c
a
q
c
a
b
r
.
Now,
∆
=
p
b
c
a
q
c
a
b
r
=
p
b
c
0
q
-
b
c
-
r
a
b
r
Applying
R
2
→
R
2
-
R
3
=
p
r
q
-
b
-
b
c
-
r
+
a
b
c
-
r
-
c
q
-
b
Expanding
along
first
column
=
p
r
q
-
b
+
p
b
r
-
c
-
a
b
r
-
c
-
a
c
q
-
b
=
p
r
-
a
c
q
-
b
+
b
p
-
a
r
-
c
Since
,
∆
=
0
.
∴
p
r
-
a
c
q
-
b
+
b
p
-
a
r
-
c
=
0
⇒
p
r
-
a
c
p
-
a
r
-
c
+
b
q
-
b
=
0
⇒
p
r
-
a
r
+
a
r
-
a
c
p
-
a
r
-
c
+
b
q
-
b
=
0
⇒
r
p
-
a
+
a
r
-
c
p
-
a
r
-
c
+
b
q
-
b
=
0
⇒
r
r
-
c
+
a
p
-
a
+
b
q
-
b
=
0
⇒
p
p
-
a
+
q
q
-
b
+
r
r
-
c
=
p
p
-
a
+
q
q
-
b
-
a
p
-
a
-
b
q
-
b
⇒
p
p
-
a
+
q
q
-
b
+
r
r
-
c
=
p
-
a
p
-
a
+
q
-
b
q
-
b
⇒
p
p
-
a
+
q
q
-
b
+
r
r
-
c
=
2
Hence
,
the
value
of
p
p
-
a
+
q
q
-
b
+
r
r
-
c
is
2
.
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13
Similar questions
Q.
If
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a
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If
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≠
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∣
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Q.
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(
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−
p
)
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