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Find the joint equation of the pair of l...

Find the joint equation of the pair of lines which pass through the origin and are perpendicular to the lines represented the equation `y^2+3x y-6x+5y-14=0`

Text Solution

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Homogeneous part of the given equation is `y^(2)+3xy=0`.
So , component lines are `y=0and y+3x=0`.
Lines perpendicular to these lines are `x=0 and 3xy=0` .
So , combined equation of above lines is `x^(2)-3xy=0`.
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