1.

यदि `(sqrt(7)-2)/(sqrt(7)+2)=asqrt(7)+b` है तो `a` का मान ज्ञात करें?A. `11/3`B. `-4/3`C. `4/3`D. `(-4sqrt(7))/3`

Answer» Correct Answer - B
`(sqrt(7)-2)/(sqrt(7)+2)=asqrt(7)+b`
L.H.S `=(sqrt(7)-2)/(sqrts(7)+2)xx(sqrt(7)-2)/(sqrt(7)-2)`
(Rationalisation)
`=((sqrt(7)-2)^(2))/((sqrt(7))^(2)-(4))=(7+4-4sqrt(7))/(7-4)`
`implies (11-4sqrt(7))/3`
`11/3-4/3sqrt(7)=-4/3sqrt(7)+11/3`
`=a sqrt(7)+11/3`
`=asqrt(7)+b=` R.H.S
Compare the cofficients of `sqrt(7)` and constant term
`a=-4/3`
`b=11/3`


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