Q 2469878715.     Consider three vectors `A = hat i + hat j - 2 hat k, B = hat i -hat j + hat k` and `C = 2 hat i - 3hat J + 4hat k` A vector `X` of the form `alpha A + beta B` (`alpha` and `beta` are numbers) is perpendicular to C. The ratio of `alpha` and `beta` is

WBJEE 2014
A

`1:1`

B

`2:1`

C

`-1:1`

D

`3:1`

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