If for a plane, x , y , z intercepts are 8 , 4 , 4 respectively, then the length of the perpendicular from the origin on to the plane is

Question

If for a plane, x , y , z intercepts are 8 , 4 , 4 respectively, then the length of the perpendicular from the origin on to the plane is, 8 3 units, 3 8 units, 3 units, 4 5 units

MARKS App · Accepted Answer

Equation of plane is x 8 + y 4 + z 4 = 1 ⇒ x + 2 y + 2 z = 8 Length of perpendicular from origin to x + 2 y + 2 z - 8 = 0 = - 8 1 + 4 + 4 = 8 3

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