1.

`k` के किस मान के लिए व्यंजक `p+1/4+sqrt(p)+k^(2)` एक पूर्ण वर्ग होगा?

Answer» Correct Answer - A
`p+1/4+sqrt(p)+k^(2)`
`implies p+sqrt(p)+(k^(2)+1/4)`
`implies (sqrt(p))^(2)=2xx1/2xxsqrt(p)+(k^(2)+1/4)`
`implies A^(2)+2xxAxxB+B^(2)`
`implies A=sqrt(p)B^(2)=(k^(2)+1/4)`
`B=1/2`
`:. k^(2)+1/4=(1/2)^(2)`
`k^(2)+1/4=1/4`
`k^(2)=0`
`k=0`


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