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)