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CAT-2004-Previous Years Paper

Question
27 out of 35
 

f1(x) = x x  1

= 1 x  1

= 0 Otherwise

f2(x) = f1(x) for all x

f3(x) =  f2(x) for all x

f3(x) = f3(x) for all x


If the lengths of diagonals DF, AG and CE of the cube shown in the adjoining figure are equal to the three sides of a triangle, then the radius of the circle circumscribing that triangle will be



A Equal to the side of cube

B Times the side of the cube

C Times the side of the cube

D Impossible to find from the given information.

Ans. A

DF, AG and E are body diagonals of cube.

Let the side of cube = a

Therefore, body diagonal is a

Circum radius for equilateral triangle side =

Therefore,

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