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Byju's Answer
Standard XII
Mathematics
Applications of Cross Product
Prove that ...
Question
Prove that
1
r
1
+
1
r
2
+
1
r
3
=
1
r
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Solution
We know
r
1
=
Δ
s
−
a
,
r
2
=
Δ
s
−
b
,
r
3
=
Δ
s
−
c
,
r
=
Δ
s
∴
1
r
1
+
1
r
2
+
1
r
3
=
3
s
−
a
−
b
−
c
Δ
=
3
s
−
2
s
Δ
=
s
Δ
=
1
r
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0
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Standard XII Mathematics
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