Multiple Choice Questions on The angle between the lines x y minus 3 0 and x minus y 3 0 is alpha and th........... for NDA Exam Preparation

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Multiple Choice Questions

The angle between the lines x y minus 3 0 and x minus y 3 0 is alpha and th...........

Mathematics (NDA) Coordinate Geometry
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    The angle between the lines x + y − 3 = 0 and x − y + 3 = 0 is α and the acute angle between the lines x − √3y + 2√3 = 0 and √3x − y + 1 = 0 is β. Which one of the following is correct?

    α = β

    Incorrect Answer

    α > β

    Correct Answer

    α < β

    Incorrect Answer

    α = 2β

    Incorrect Answer
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    Explanation:

    cos α = 1−1−9  / √1+1+9√1+1+9 = -9/11

    Implies that α lies in 2nd or 3rd quadrant.

    Cos β = √3+√3+2√3 / √1+3+12√3+1+1 = 4√3 / √5√16 = √3 / √5

    Implies that β lies in 1st or 4th quadrant. Therefore α > β.

    By: Yachna
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