The distance of origin (0, 0, 0) from the plane -2x+6y-3z=-7 is
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For 3x−6y+2z+5=0 and −4x+12y−3z+3=0 bisector are
9+36+4
3x−6y+2z+5
=±
16+144+9
−4x+12y−3z+3
The plane which bisects the angle between the plane that contains the origin
13(3x−6y+2z+5)=7(−4x+12y−3z+3)
⇒39x−78y+26z+65+28x−84y+21z−21=0
⇒67x−162y+47z+44=0
Further 3×(−4)+(−6)×12+2×(−3)<0
Hence, the origin lies in the acute angle.
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