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Q.

The reflection of the plane 2x−3y+4z−3=0 in the plane x−y+z−3=0 is the plane

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a

4x−3y+2z−15=0

b

x−3y+2z−15=0

c

4x+3y−2z+15=0

d

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

answer is A.

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Detailed Solution

Equation of the required plane be  obtained using the reflection of a1x+b1y+c1z+d1=0 in the plane ax+by+cz+d=0  is given by 2(aa1+bb1+cc1)(ax+by+cz+d)=(a2+b2+c2)(a1x+b1y+c1z+d1)
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The reflection of the plane 2x−3y+4z−3=0 in the plane x−y+z−3=0 is the plane