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`|a-b|` किसके तुल्ये हैA. `2sqrt2`B. `2sqrt10`C. 5D. 10 |
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Answer» Correct Answer - B दिया है `|a|=7,|b|=11` तथा `|a+b|=10sqrt3` अब `|a-b|^(2)=|a|^(2)+|b|^(2)-2a.b...(i)` `therefore |a+b|=10sqrt3` `therefore |a+b|^(2)=100xx3` `Rightarrow (7)^(2)+(11)^(2)+2a.ab=30` `Rightarrow 49+121+2a.b=300` `Rightarrow 2a.b.=300-170 Rightarrow 2a.b.=130` अब, |a|, |b| तथा 2a.b के मान सभी में रखने पर `|a-b|^(2)=(7)^(2)+(11)^(2)-130` `=49+121-130` `=170-130=40` `therefore |a-b|=sqrt40=2sqrt10` |
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