Multiple Choice Questions on What is the equation of the sphere whose centre is at ndash 2 3 4 and radius is 6 units ........ for NDA Exam Preparation

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Multiple Choice Questions

What is the equation of the sphere whose centre is at ndash 2 3 4 and radius is 6 units ........

Mathematics (NDA) Coordinate Geometry
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    What is the equation of the sphere whose centre is at (–2, 3, 4) and radius is 6 units?

    x2 + y2 + z2 + 4x – 6y – 8z = 7

    Correct Answer

    x2 + y2 + z2 +6x -4y -8z =7

    Incorrect Answer

    x2 + y2 + z2 +4x -6y -8z =4

    Incorrect Answer

    x2 + y2 + z2 + 4x + 6y + 8z = 4

    Incorrect Answer
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    Explanation:
    (x+2)2+(y−3)2+(z−4)2=62
    ⇒x2+y2+z2+4x−6y−8z =62−22−32−42
    ⇒x2+y2+z2+4x−6y−8z =7

    By: Munesh Kumari
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