Multiple Choice Questions on The common tangent of the parabola y2 8ax and the circle x2 y2 2a2 is ........ for NDA Exam Preparation

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Multiple Choice Questions

The common tangent of the parabola y2 8ax and the circle x2 y2 2a2 is ........

Mathematics (NDA) Coordinate Geometry
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    The common tangent of the parabola y2 = 8ax and the circle x2 + y2 = 2a2 is?

    y=±x  ±5a

    Incorrect Answer

    y=±x  ±4a

    Incorrect Answer

    y=±x  ±2a

    Correct Answer

    y=x+3a

    Incorrect Answer
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    Explanation:

    Equation of tangent to y2= 8ax is y = mx + 2a/ m

    Solving with the circle

    X2  +(mx+2a/m)2  =2a2   

    X2 (1+m2)+4ax+4a2/m2  -2a2  =0

    B2  -4AC  =0

    Gives   m=±1

    Tangent  y=  ±x  ±2a7

    By: bhavesh kumar singh
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