The joint equation of pair of lines through the origin and making an equilateral triangle with the line y = 5 is

Question

The joint equation of pair of lines through the origin and making an equilateral triangle with the line y = 5 is, 3 x 2 − y 2 = 0, 5 x 2 − y 2 = 0, x 2 − 3 y 2 = 0, 3 ​ x 2 − y 2 = 0

MARKS App · Accepted Answer

​ y = tan 6 0 ∘ x ⇒ y = x y = tan 12 0 ∘ x ⇒ y = − x joint equation = ( x − y ) ( x + y ) = 0 ⇒ 3 x 2 − y 2 = 0 ​

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