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A straight line through the point (2, 2)...

A straight line through the point (2, 2) intersects the lines `sqrt3 x + y = 0` and `sqrt3 x - y = 0` at the points A and B. The equation of AB so that the triangle OAB is equilateral, where O is the origin.

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The correct Answer is:
y-2=0
`sqrt(3)x+y=0 " makes an angle of " 120^(@) " with OX, whereas"`
`sqrt(3)x-y=0 " makes an angle of " 60^(@) " with OX. Therefore, the required line is " y-2=0.`
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CENGAGE-STRAIGHT LINES-Exercise 2.1
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