Q.

Let there be a column of square cross-section having side length 2 units and of infinite length centred on z-axis. Let P be a random point lying in the section cut off by the plane  x+2y+2z=30  in the column. Q is reflection of P in the plane  z=15  and R is locus of point Q, then 

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a

R lies in   x+2y2z+30=0

b

area of R is 6 square units

c

R lies in  x2y2z+30=0

d

area of R is  125  square units

answer is A, C.

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Let there be a column of square cross-section having side length 2 units and of infinite length centred on z-axis. Let P be a random point lying in the section cut off by the plane  x+2y+2z=30  in the column. Q is reflection of P in the plane  z=15  and R is locus of point Q, then