UPSC NDA I 2011 Mathematics Paper
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For the next four (4) items that follow:
A B C is a triangle right angled at B . The hypotenuse ( A C ) is four times the perpendicular ( B D ) is four times the perpendicular ( B D ) drawn to its from the opposite vertex and A D < D C .
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What is the radius of the sphere x 2 + y 2 + z 2 − x − y − z = 0 ?
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