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यदि `x=sqrt(3)+1/(sqrt(3))` हो तो `(x-(sqrt(126))/(sqrt(42))) (x-1/(x-(2sqrt(3))/3))` का मान क्या है?A. `5 (sqrt(3))/6`B. `(2sqrt(3))/3`C. `5/6`D. `2/3` |
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Answer» Correct Answer - C `x=sqrt(3)+1/(sqrt(3))=(3+1)/(sqrt(3))=4/(sqrt(3))` So `(x-(sqrt(126))/(sqrt(42)))(x-1/(x-(2sqrt(3))/3))` `=(4/(sqrt(3))-(sqrt(126))/(sqrt(42)))(x-1/(4/(sqrt(3))-2/(sqrt(3))))` `=((4sqrt(42)-sqrt(126)xxsqrt(3))/(sqrt(3)xxsqrt(142)))(x-1/(2//sqrt(3)))` `=(4sqrt(42)-3sqrt(42))/(sqrt(3)xx sqrt(42))(x-(sqrt(3))/2)` `=(4sqrt(42)-3sqrt(42))/(sqrt(3)xxsqrt(42))(4/(sqrt(3))-(sqrt(3))/2)` `=((sqrt(42))/(sqrt(3)xxsqrt(42)))((8-3)/(2sqrt(3)))=5/6` |
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