Multiple Choice Questions on Find the equation of the tangents to the ellipse 9x2 16y2 144 which are parallel to the line x 3y k ........... for NDA Exam Preparation

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Multiple Choice Questions

Find the equation of the tangents to the ellipse 9x2 16y2 144 which are parallel to the line x 3y k ...........

Mathematics (NDA) Coordinate Geometry
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    Find the equation of the tangents to the ellipse 9x2 + 16y2 = 144 which are parallel to the line x + 3y + k = 0

    y =-x/3  ± √11

    Incorrect Answer

    y =x  ± √11/3

    Incorrect Answer

    y =x/3  ± √11/3

    Incorrect Answer

    y =-x/3  ± √11/3

    Correct Answer
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    Explanation:

    ellipse 9x2 + 16y2 = 144

    x2 /16 + y2 /9 = 1

    a2=16  ,b2=9

    x + 3y + k = 0

    y=-x/3 +k/3

    m=-1/3

    tangents equation y=mx±√a2 m2 +b2

                                  y=-x/3 ± √-16/3  +9

                                    y =-x/3  ± √11/3

    By: bhavesh kumar singh
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