1.

यदि `x+1=sqrt(y)+3,ygt0`, तो `1/2 xx((x^(3)-6x^(2)+12x-8)/(sqrt(y))-y)` का मान क्या होगा?A. `1/2`B. `-1`C. `1`D. `0`

Answer» Correct Answer - D
According to the question
`x+1=sqrt(y)+3,ygt0`
`implies 1/2((x^(3)-6x^(2)+12x-8)/(sqrt(y))-y)=?`
Put `x=4` & `y=4`
Now
`implies 1/2((x^(3)-6x^(2)+12x-8)/(sqrt(y))-y)`
`=1/2((x-2)(3))/(sqrt(y))-y)`
`=1/2(((4-2)^(3))/(sqrt(4))-4)`
`=1/2(8/2-4)=1/2(4-4)=0`


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