Let x,y and z be non zero real nos and alpha beta and gamma be complex nos such that x+y+z=0=alpha x+beta y=gamma z...pls somebody solve this
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Answered by
0
Answer:
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Answered by
0
Answer:
Correct option is
C
154
Let
y
x
=a,
z
y
=b,
x
z
=c, then
a+b+c=
y
x
+
z
y
+
x
z
=7
abc=
y
x
×
z
y
×
x
z
=1
(ab+bc+ca)=
y
x
×
z
y
+
z
y
×
x
z
+
x
z
×
y
x
=
z
x
+
x
y
+
y
z
=9
a
3
+b
3
+c
3
−3abc=(a+b+c)[(a+b+c)
2
−3(ab+bc+ca)]
⟹
y
3
x
3
+
z
3
y
3
+
x
3
z
3
−3
=(
y
x
+
z
y
+
x
z
)[(
y
x
+
z
y
+
x
z
)
2
−3(
z
x
+
x
y
+
y
z
)]
=7⋅[(7)
2
−3(9)]
=7(49−27)
=7×22=154
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