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प्रश्न
Find the joint equation of the line passing through the origin having slopes 2 and 3.
उत्तर
We know that the equation of the line passing through the origin and having slope m is y = mx. Equations of the lines passing through the origin and having slopes 2 and 3 are y = 2x and y = 3x respectively. i.e. their equations are
2x - y = 0 and 3x - y = 0 respectively.
∴ their joint equation is
(2x - y)(3x - y) = 0
∴ 6x2 - 2xy - 3xy + y2 = 0
∴ 6x2 - 5xy + y2 = 0
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