यदि `(sqrt(3)-1)/(sqrt(3)+1)=a+bsqrt(3)` हो, तो a तथा b का मान है

Options

A. 3,5
B. 4,-3
C. 2,-1
D. 7,3

Answer

C

Explanation

`(sqrt(3)-1)/(sqrt(3)+1)=a+bsqrt(3)`
`rArr((sqrt(3)-1)(sqrt(3)-1))/((sqrt(3)+1)(sqrt(3)-1))=a+bsqrt(3)`
`rArr((sqrt(3)-1)^(2))/((sqrt(3))^(2)-(1)^(2))=a+bsqrt(3)`
`(3+1-2sqrt(3))/(3-1)=a+bsqrt(3)`
`rArr(4-2sqrt(3))/(2)=a+bsqrt(3)`
`therefore 2 - sqrt(3)=a+bsqrt(3)`
तुलना करने पर, a=2 तथा b = - 1