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Q.

The reflection of the plane 2x3y+4z3=0 in the plane xy+z3=0 is the plane 

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a

4x+3y+2z+15=0

b

4x3y+2z15=0

c

x3y+2z15=0

d

4x+3y2z+15=0

answer is A.

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Detailed Solution

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  we know that reflection of a1x+b1y+c1z+d1=0 in the plane ax+by+cz+d=0 is given by
2aa1+bb1+cc1(ax+by+cz+d) =a2+b2+c2a1x+b1y+c1z+d1
 By using this formula we will get  required plane

where a1=2,b1=-3,c1=4 ,d1=-3 and a=1,b=-1,c=1,d=-3 2(9)(x-y+z-3)=3(2x-3y+4z-3) 4x-3y+2z-15=0

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