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Find ten equation of the plane passing t...

Find ten equation of the plane passing through the point `(0,7,-7)` and containing the line `(x+1)/(-3)=(y-3)/2=(z+2)/1` .

A

`x+y+z=1`

B

`x+y+z=2`

C

`x+y+z=0`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
The equation of plane containing the line
`(x+1)/(-3)=(y-3)/(2)=(z+2)/(1)` is
`a(x+1)+b(y-3)+c(z+2)=0` . . . (i)
`and" "-3a+2b+c=0` . . . (ii)
Also, plane passes through (0,7,-7).
`:." "a+4b-5c=0` . . . (iii) From Eqs. (ii) and (iii),
`(a)/(-14)=(b)/(-14)=(c)/(-14)`
`rArr" "(a)/(1)=(b)/(1)=(c)/(1)`
So, equation of plane is `1(x+1)+1(y-3)+1(z+2)=0`
i.e. `x+y+z=0`.
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