Question

Two intersecting lines lie in two planes.

A. True
B. False

Answer 1

Flase

Explanation:

The plane is a two dimensional figure. If the two lines are intersecting, then there will be a solution (x, y) for the equations of the lines.

We plot the points of each line of equations in the same plane and connect them and draw the lines, if the lines intersect, then there is a solution. Which is in the same plane.

The point (x, y) is in the same plane not in two different planes.

Therefore, two intersecting lines lie in two planes is a false.

Answer 2

Intersecting lines can be lying in a plane. An example is the Cartesian coordinate system where systems of equations can be defined by their intesecting points by plotting the equations in the plane coordinate system. In this case, the answer to this problem is B. False