A straight iine through the point (2,2) intersects the lines √3 x + y = 0 and √3x - y = 0 a
A straight iine through the point (2,2) intersects the lines √3 x + y = 0 and √3x - y = 0 at the points A and B. The equation to the line AB so that the ΔOAB is equilateral, is
(a) x-2=0
(b) y-2=0
(c) x+y-4=0
(d) None of these
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Correct Option (b) y-2=0
Explanation:
Given lines √3x + y = 0 makes an angle of 120° with OX and √3x - y = 0 makes an angle of 60° with OX. So, the required line is y - 2 = 0
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