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If 9x-3y + z = 0 , then the value of y...

If `9x-3y + z = 0` , then the value of `y/(2x)+ sqrt((x^(2) - 4xz)/(4x^(2)))`
(where x,y,z and constants).

A

9

B

2

C

3

D

6

Text Solution

Verified by Experts

The correct Answer is:
C
`9x-3y+z= 0` consider ` xa^(2) - ya + z = 0` a quadratic equation in a. Where x, y, z are constants
Let `a = 3 rArr (3)^(2) x - 3 y + z = 0` is a quadratic equation in 3.
`3 =(-(-y)+sqrt(y^(2)-4.x.z))/(2x)`.
`rArr = y/(2x) + sqrt((y^(2) - 4xz)/(4x^(2)))`
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