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Q.

Consider a set of points R in the space which is at a distance of 2 units from the line  x1=y−1−1=z+22 between the planes x-y+2z+3=0 and x-y+2z-2=0.

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a

The volume of the bounded figure by points .R and the planes is (10/33)π sq. units.

b

The area of the curved surface formed by the set of points R is (20π/6) sq. units.

c

The volume of the bounded figure by the set of points R and the planes is (20π/6) cubic units

d

The area of the curved surface formed by the set of points R is (10/3)π sq. units.

answer is B.

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Detailed Solution

Distance between the planes is h=56Also the figure formed is a cylinder, whose radius is r:2 units. Hence, the volume of the cylinder is  πr2h=π(2)2⋅56=20π6 cubic units. Also the curved surface area is 2πrh=2π(2)⋅56=20π6
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