Multiple Choice Questions on Find the equation of the tangents to the parabola y2 9x which go through the point 4 11 ........ for NDA Exam Preparation

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Multiple Choice Questions

Find the equation of the tangents to the parabola y2 9x which go through the point 4 11 ........

Mathematics (NDA) Coordinate Geometry
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    Find the equation of the tangents to the parabola y2 = 9x which go through the point (4, 11)?

    y= 12x/40  +67/101 or y=11x/60   +80/101

    Incorrect Answer

    y= 11x/40  +90/101 or y=101x/40   +90/101

    Correct Answer

    y= 17x/40  +90/101 or y=101x/40   +90/101

    Incorrect Answer

    7y= 19x/40  +40/101 or y=81x/40   +49/101

    Incorrect Answer
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    Explanation:

    Equation of tangent to parabola y2= 9x is

    4a=9

    a =9/4

    y = mx + 9 /4m

    Since it passes through (4, 11)

    11 =4m+9/4m

    11=4m+ 9/4m

    44m =16m2  +9

    16m2  -44m+9=0

    M=44±√((44)2  -576)  /32

    =(44±36.87)/32

    M1 =80.8/32

    =10.1/4

    =101/40

    M2 =8.8/32

    =88/320

    =22/80

    =11/40

    Y=mx+a/m

    =11x/40   +9×40/4×101

    Y1=11x/40  +90/101

    Y2 =101x/40  +9×40/4×101

     =101x/40   +90/101

    By: bhavesh kumar singh
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