Question

In a three-dimensional xyz space, the equation $x^2-5x+6=0$ represents-

• A. Points
• B. Planes
• C. Curves
• D. Pair of straight lines.

Answer 1

Answer: (B)

Planes

In a three dimensional xyz space, an equation of the form $x=a$ denotes a plane passing through the point $(a,0,0)$ and parallel to the yz plane.

Similarly, $x^2-5x+6=0$ implies $(x-2)(x-3)=0$

Thus, this denotes two such planes, $x=2$ and $x=3$, parallel to the yz plane.