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

Question

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

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`

Monjur Alahi

5 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

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`.

5 views Answered 2023-02-05 15:29