The equation of the plane passing throug...

The equation of the plane passing through `A(x_1,y_1,z_1)` and
containg the line `(x-x_2)/(d_1)=(y-y_2)/(d_2)=(z-z_2)/(d_3)` is

A

(a) `|{:(x+x_1,y+y_1,z+z_1),(x_2+x_1,y_2+y_1,z_2+z_1),(d_1,d_2,d_3):}|=0`

B

(b) `|{:(x-x_1,y-y_1,z-z_1),(x_2-x_1,y_2-y_1,z_2-z_1),(d_1,d_2,d_3):}|=0`

C

(c) `|{:(x-d_1,y-d_2,z-d_3),(x_1,y_1,z_1),(x_2,y_2,z_2):}|=0`

D

(d) `|{:(x,y,z),(x_1-x_2,y_1-y_2,z_1-z_2),(d_1,d_2,d_2):}|=0`

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The correct Answer is:

B

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