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Byju's Answer
Standard XI
Mathematics
Subset
The value of ...
Question
The value of
∑
p
,
q
,
r
p
2
−
∑
p
,
q
,
r
q
2
is
A
p
2
+
q
2
+
r
2
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B
0
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C
2
p
2
+
2
q
2
+
2
r
2
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D
p
+
q
+
r
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Solution
The correct option is
B
0
Both the summations runs over
p
,
q
,
r
∴
∑
p
,
q
,
r
p
2
−
∑
p
,
q
,
r
q
2
=
(
p
2
+
q
2
+
r
2
)
−
(
p
2
+
q
2
+
r
2
)
=
0
Hence, the answer is
0
.
Suggest Corrections
0
Similar questions
Q.
If P : Q : R = 6 : 5 : 4 and
P
2
+
Q
2
+
R
2
=
192500
then find
(
P
+
Q
−
R
)
2
Q.
Let
p
,
q
a
n
d
r
be real numbers
(
p
≠
q
,
r
≠
0
)
, such that the roots of the equation
1
x
+
p
+
1
x
+
q
=
1
r
are equal in magnitude but opposite in sign, then the sum of squares of these roots is equal to :
Q.
If
p
a
+
q
b
+
r
c
=
1
and
a
p
+
b
q
+
c
r
=
0
then value of
p
2
a
2
+
q
2
b
2
+
r
2
c
2
is.
Q.
If
p
=
−
2
,
q
=
1
and
r
=
3
find the value of
( a )
p
2
+
q
2
−
r
2
( b )
p
−
q
−
r
( c )
p
3
+
q
3
+
r
3
+
3
p
q
r
Q.
If
(
p
2
−
q
2
)
x
2
+
(
q
2
−
r
2
)
x
+
r
2
−
p
2
=
0
and
(
p
2
−
q
2
)
y
2
+
(
r
2
−
p
2
)
y
+
q
2
−
r
2
=
0
have a common root for all real values of p, q and r, then find the common root.
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Standard XI Mathematics
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