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Find the equation of the plane passing t...

Find the equation of the plane passing through the points `A(2,1,-3), B(-3,-2,1)` and `C(2,4,-1)`.

A

(1,1,-1)

B

(2,1,2)

C

(-2,1,2)

D

(2,-2,1)

Text Solution

Verified by Experts

The correct Answer is:
C
`|(x-1,y+1,z-1),(1,2,-3),(2,0,-2)|=0`
`rArr -4(x-1) -4(y+1) -4(z-1)=0 rArr x+y+z-1=0`
Foot of perpendicular
`F: (x+1)/1 = (y-2)/1 = (z-3)/1 =-((-1+2+3-1))/3=-1 rArr` F(-2,1,2)
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