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If a = 8 +- 0.08 and b = 6 +- 0.06, Let ...

If a = 8 `+-` 0.08 and b = 6 `+-` 0.06, Let x = a + b, y = a – b, z = a`xx`b. The correct order of % error in x,y and z

A

`x = y lt z`

B

`x = y gt z `

C

`x lt z lt y`

D

`x gt z lt y`

Text Solution

Verified by Experts

The correct Answer is:
C

`a+ b= 14 +- 0.14 implies % "error" =(0.14 )/(14 ) xx 100 = 1% `
`a-b =2 +- 0.14 implies % "error" ( 0.14 )/( 2) xx 100 = 7 % `
`a xx b = 48 +- 0.96 implies % "error" =( 0.96 )/(48 ) xx 100 = 2% `
so ,order of % error x < z < y
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