Multiple Choice Questions on The length of the latus rectum of a parabola whose focus is 2 5 and directrix is the line ........... for NDA Exam Preparation

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Multiple Choice Questions

The length of the latus rectum of a parabola whose focus is 2 5 and directrix is the line ...........

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

    -25/√17

    Incorrect Answer

    -30/√19

    Incorrect Answer

    30/√17

    Incorrect Answer

    -30/√17

    Correct Answer
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    Explanation:

    Latus rectum  =2 x (perpendicular from focus  to the directrix)

    =2 (x-4y+3)/√(12  +42)

    =2 (2-20+3)/√17

    = -30/√17

    By: bhavesh kumar singh
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