First slide

Pair of straight lines

Question

The combined equation of the pair of lines passing through origin which are at a distance 4 units from the point (5, 6) is

Moderate

A

$9 x^{2} + 60 x y - 20 y^{2} = 0$
B

$9 x^{2} - 60 x y + 20 y^{2} = 0$
C

$20 x^{2} + 60 x y - 9 y^{2} = 0$
D

$20 x^{2} - 60 x y + 9 y^{2} = 0$

Solution

${(β x - α y)}^{2} = d^{2} (x^{2} + y^{2})$
where $(α, β) = (5, 6) a n d d = 4$

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