Question

The equation of the plane through the point (1, 2, 3 ) and parallel to the plane $x + 2y + 5z = 0$is

• A. $(x - 1) + 2(y - 2) + 5(z - 3) = 0$
• B. $x + 2y + 5z = 14$
• C. $x + 2y + 5z = 6$
• D. None of these

Answer 1

Answer: (A)

$(x - 1) + 2(y - 2) + 5(z - 3) = 0$

Answer 2

Equation of plane passing through the point (1, 2, 3) is $A ( x - 1 ) + B ( y - 2 ) + C ( z - 3 ) = 0$ .....(i)

Plane (i) is parallel to plane $x + 2 y + 5 z = 0$

∴ $( x - 1 ) + 2 ( y - 2 ) + 5 ( z - 3 ) = 0$ is the required plane.