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CAT 2012 Exam Question Paper for free online practice
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© examsnet.com
Question : 2
Total: 60
If
b
x
−
a
y
b
c
=
a
y
−
c
z
a
c
=
c
z
−
b
x
a
b
,
then, given that
(
b
x
≠
a
y
≠
c
z
)
ab + bc + ca = 0
ab - bc + ca = 0
ab + bc - ca = 0
ab - bc - ca = 0
Validate
Solution:
Suppose
b
x
−
a
y
b
c
=
a
y
−
c
z
a
c
=
c
z
−
b
x
a
b
= k
So
bx - ay = kbc
ay - cz = kac
cz - bx = kab
On adding, k (ab + bc + ca) = 0
or, ab + bc + ca = 0.
© examsnet.com
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