1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard IX
Mathematics
Absolute Value Function
If a+b+c=8 an...
Question
If (a + b + c) = 8 and (ab + bc + ca) = 19, find (a
2
+ b
2
+ c
2
).
Open in App
Solution
∵
a
+
b
+
c
2
=
a
2
+
b
2
+
c
2
+
2
a
b
+
b
c
+
c
a
∴
a
2
+
b
2
+
c
2
=
a
+
b
+
c
2
-
2
a
b
+
b
c
+
c
a
=
8
2
-
2
×
19
=
64
-
38
=
26
Suggest Corrections
0
Similar questions
Q.
If
a
+
b
+
c
=
8
a
2
+
b
2
+
c
2
=
40
. Find the value of
a
b
+
b
c
+
c
a
.
Q.
If
a
2
+
b
2
+
c
2
+
ab
+
bc
+
ca
= 89 and (
a
+
b
) : (
b
+
c
) : (
c
+
a
) = 12 : 5 : 3, where
a
,
b
and
c
are real numbers, then (
a
2
+
b
2
+
c
2
–
ab
–
bc
–
ca
) equals
यदि
a
2
+
b
2
+
c
2
+
ab
+
bc
+
ca
= 89 तथा (
a
+
b
) : (
b
+
c
) : (
c
+
a
) = 12 : 5 : 3, जहाँ
a
,
b
व
c
वास्तविक संख्याएँ हैं, तब (
a
2
+
b
2
+
c
2
–
ab
–
bc
–
ca
) बराबर है
Q.
If a+b+c=0 what is the value of
a
2
+
b
2
+
a
b
b
2
+
c
2
+
b
c
+
c
2
+
c
a
+
a
2
b
2
+
c
2
+
b
c
?
Q.
If a
2
+ b
2
+ c
2
= 250 and ab + bc + ca = 3, find a + b + c.
