Solveeit Logo

Question

Question: The co-ordinates of the foot of the perpendicular drawn from the origin to a plane is (2, 4, –3). Th...

The co-ordinates of the foot of the perpendicular drawn from the origin to a plane is (2, 4, –3). The equation of the plane is

A

2x4y3z=292x - 4y - 3z = 29

B

2x4y+3z=292x - 4y + 3z = 29

C

2x+4y3z=292x + 4y - 3z = 29

D

None of these

Answer

2x+4y3z=292x + 4y - 3z = 29

Explanation

Solution

According to question, 2(x2)+4(y4)3(z+3)=02 ( x - 2 ) + 4 ( y - 4 ) - 3 ( z + 3 ) = 0 or 2x+4y3z29=02 x + 4 y - 3 z - 29 = 0.