Multiple Choice Questions on If the angle between the lines whose ratios are 2 minus 1 2 and is pi 4 then the smaller v........... for NDA Exam Preparation

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Multiple Choice Questions

If the angle between the lines whose ratios are 2 minus 1 2 and is pi 4 then the smaller v...........

Mathematics (NDA) Coordinate Geometry
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    If the angle between the lines whose ratios are (2,−1, 2) and is π / 4 , then the smaller value of x is-

    52

    Incorrect Answer

    4

    Correct Answer

    2

    Incorrect Answer

    1

    Incorrect Answer
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    Explanation:

    Cos π / 4 = 2x−3+10 / √4+1+4√x2+9+25

    1 / √2 = 2x+7 / 3√x2+34

    Squaring…

    1 / 2 = 4x2+28x+49 / 9x2+306

    Or x2 – 56x + 208 = 0

    ⇒ x = 4

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