Multiple Choice Questions on Find the length of the latus rectum of a parabola whose focus is 2 3 and directrix is the line x nda........... for NDA Exam Preparation

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Multiple Choice Questions

Find the length of the latus rectum of a parabola whose focus is 2 3 and directrix is the line x nda...........

Mathematics (NDA) Coordinate Geometry
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    Find the length of the latus rectum of a parabola, whose focus is (2, 3) and directrix is the line x – 4y + 5 = 0 is?

     -5/√17

    Incorrect Answer

    -10/√17

    Correct Answer

    30/√17

    Incorrect Answer

    -12/√17

    Incorrect Answer
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    Explanation:

    Focus (2,3)

    Directrix  x – 4y + 5 = 0

    Latus rectum  =2 perpendicular from focus  to the directrix

    =2 (x-4y+5)/√(12  +42)

    =2 (2-12+5)/√17

    = -10/√17

    By: bhavesh kumar singh
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