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The joint equation of pair of straight lines passing through origin and having slopes `(1+sqrt(2)) and ((1)/(1+sqrt(2)))` isA. `x^(2)-2sqrt2xy+y^(2)=0`B. `x^(2)-2sqrt2xy-y^(2)=0`C. `x^(2)+2xy-y^(2)=0`D. `x^(2)+2xy+y^(2)=0` |
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Answer» Correct Answer - A Required equation of pair of straight lines passing through origin and having slopes, `m_(1)=(1+sqrt2)` and `m_(2)=1/(1+sqrt2)=sqrt-1` `rArr[y-(1+sqrt2)x][y-(sqrt2-1)x]=0` `rArry^(2)-(sqrt2-1)xy-(1+sqrt2)xy+(2-1)x^(2)=0` `rArry^(2)-(sqrt2-1+1+sqrt2)xy+x^(2)=0` `rArry^(2)-2sqrt2xy+x^(2)=0` |
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