Question #1a839

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1 Answer
CW
Jan 13, 2018

Equation of line AB is y=2

Explanation:

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O(0,0) is the intersection point of the two given lines sqrt3x+y=0, and sqrt3x-y=0,
Given y=sqrt3x, slope = sqrt3, => alpha=tan^-1sqrt3=60^@
similarly, given y=-sqrt3x, => beta=60^@, as shown in the figure.
=> angleAOB=180-60-60=60^@
For DeltaOAB to be equilateral, line AB has to be parallel to the x-axis.
Hence, equation of line AB that passes through P(2,2) and is parallel to the x-axis is : y=2

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