If O is the original and A is the point (a,b,c) then the equation of the plane throught A and at right angles to OA is .

Options

A. `a(x-a) - b(y - b) -c (z-c) = 0`
B. `a(x+a)+b(y+b)+c(z+c) = 0`
C. `a(x-a) +b(y-b) + c(z - C) =0`
D. None of the above

Answer

C

Explanation

Equation of any plane passing thorught (a,b,c) is
`a(x -a) + b(y - b) +c (z-c) = 0" "……(i)`
DR's of OA = (a,b,c)
`therefore` Required equation of plane is `a(x-a)+b(y -b) + x(z-c) = 0`