Multiple Choice Questions on If the line y 3x b intersect the parabola y2 4x at two distinct points then the set of values of lsq........... for NDA Exam Preparation

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Multiple Choice Questions

If the line y 3x b intersect the parabola y2 4x at two distinct points then the set of values of lsq...........

Mathematics (NDA) Coordinate Geometry
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    If the line y=3x+b ,intersect the parabola y2=4x at two distinct points then the set of values of ‘b’ is  ?

     (3,9)

    Incorrect Answer

    (1/3   ,3)

    Incorrect Answer

    (-∞  ,1/3)

    Correct Answer

    (2 ,∞)

    Incorrect Answer
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    Explanation:

     line  y=3x+b

    Putting value of y from the line in the parabola

    (3x+b)2=4x

    9x2 +b2+6xb =4x

    Lines cut the parabola at distinct point

    D>0

    4(3b-2)2   -4 ×9b2  >0

    9b2  +4-12b -9b2  >0

    b<1/3

    b ? (-∞  ,1/3)

    By: bhavesh kumar singh
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