If the planes bx−ay=n, cy−bz=l, az−cx=m intersects in a line then the value of al+bm+cn is
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a
1
b
0
c
2
d
5
answer is B.
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Detailed Solution
b−a0n0c−bl−c0am R3→bR3+c R1 ~ b−a0n0c−bl0−acabbm+cn R3→R3+aR2 ~b−a0n0c−bl000al+bm+cn Three planes intersects in a line⇒ System of equations have infinitely many solutions ⇒ a l+bm+cn=0