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Question

If ax=by=cz and b2=ac, then the value of y is equal to
  1. xz2(xz)
  2. xz2(zx)
  3. 2xzx+z
  4. 2xz(xz)

A
xz2(xz)
B
2xzx+z
C
2xz(xz)
D
xz2(zx)
Solution
Verified by Toppr

Let ax=by=cz=k .....( Given )
ax=k
a=k1x
by=k
b=k1y .....cz=k
c=k1z
Given, b2=ac
Substituting values of a,b,c in above equation
(k1y)2=k1x×k1z
k2y=k1x+1z
2y=1x+1z
2y=x+zxz
y=2xzx+z

Option (A) is correct.

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