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The joint equation of lines passing through the origin and trisecting the first quadrant isA. `sqrt3x^(2)-4xy+sqrt3y^(2)`=0B. `x^(2)+sqrt3xy-y^(2)=0`C. `3x^(2)-y^(2)=0`D. `x^(2)-sqrt3xy-y^(2)=0` |
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Answer» Correct Answer - A Since , lines passing throught the orgin and trisecting the first quadrant therefore there slopes are `m_(1) =tan 30^(@) , m_(2) = tan 60^(@)` `rArr" "m_(1) =(1)/(sqrt(3)) ,m_(2) = sqrt(3)` `therefore` Required joint equation of the lines is `(y -(1)/(sqrt(3))x) (y--sqrt(3x)) = 0` `rArr " "(sqrt(3y) -x) (y - sqrt(3)x)=0` `rArr " " sqrt(3)x^(2) - 4xy + sqrt(3)y^(2) = 0` |
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