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Let P(-7,1,-5) be a point on a plane and...

Let P(-7,1,-5) be a point on a plane and let O be the origin. If OP is normal to the plane, then the equation of the plane is

A

`7x-y+5z+75=0`

B

`7x+y-5z+73=0`

C

`7x+y+5z+73=0`

D

`7x-y-5z+75=0`

Text Solution

Verified by Experts

The correct Answer is:
A
Equation of any plane passing through (-7,1,-5) is
`a(x+7)+b(y-1)+c(z+5)=0`
The DR's of normal OP to the plane are
`a=-7,b=1,c=-5`
`:.` From Eq. (i) we get
`-7(x+7)+1(y-1)-5(z+5)=0`
`rArr" "7x-y+5z+75=0`
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