The sum of the intercepts on the coordinate axes of the plane passing through the point – 2 , –…

The sum of the intercepts on the coordinate axes of the plane passing through the point 2,2,2 and containing the line joining the points 1,1,2 and 1,1,1 is
  1. 4
  2. 12
  3. -8
  4. -4

Solution

Equation of plane is

x+2y+2z-2-3-10-3-31=0

-x+2+3y+2+6z-2=0

x-3y-6z+8=0

Sum of intercepts=-8+83+86=-4

Asked in: JEE Main 2018 (16 Apr Online)

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