UPSC NDA I 2011 Mathematics Paper

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For the next four (4) items that follow:
ABC is a triangle right angled at B. The hypotenuse (AC) is four times the perpendicular (BD) is four times the perpendicular (BD) drawn to its from the opposite vertex and AD<DC.
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Question : 35 of 120
 
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What is the radius of the sphere x2+y2+z2−x−y−z=0?
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