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`(sqrt(3+x)+sqrt(3-x))/(sqrt(3+x)-sqrt(3-x))=2` तो `x` का मान क्या होगा?A. `5/12`B. `12/5`C. `5/7`D. `7/5` |
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Answer» Correct Answer - B `(sqrt(3+x)+sqrt(3-x))/(sqrt(3+x)-sqrt(3-x))=2/1` (by c-d rule) `implies(sqrt(3+x))/(sqrt(3-x))=(2+1)/(2-1)=3/1` `((A/B=C/D),((A+B)/(A-B)=(C+D)/(C-D)))` `(sqrt(3+x))/(sqrt(3-x))=3` Squaring both sides `(3+x)/(3-x)=9` `3+x=27-9x` `10x=24` `x=24/10=12/5` |
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