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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` |
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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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