Planes A and B are shown. Planes B and A intersect. Plane B is vertical and contains vertical line n. Plane A is horizontal and contains horizontal line m. Lines m and n are perpendicular. Line l is on plane A and it is slightly diagonal. If a new line, p, is drawn parallel to line l, which statement is true? Line p must be drawn in plane B. Line p must be perpendicular to line m. Line p must be drawn so that it can lie in the same plane as line l. Line p must be drawn in the same plane as line n.

And, then, we have a new line l on a plane A. Since lines are infinite and line l is slightly diagonal, that means that it's going to intersect plane B at some point.

Now, since this newly drawn line p is parallel to line l, it will have the same features as l, meaning that it will also intersect plane B.

Since it's impossible for a line to intersect a plane containing it, that means that line p lies in the same line as line l.

shrutiagrawal1798 shrutiagrawal1798 · Answer 2 · 2021-12-20T14:11:10+01:00

For the new line drawn parallel to l, the line p has been drawn in such a manner that it has been on the same plane as line l. Thus, option C is correct.

The given set of lines has been found be consisting with plane A having line m, plane B having line n. The line m and n are perpendicular to the each other.

According to the planes, the new line l has been drawn parallel to line p. The line p has been capable of intersecting plane B. Thus, line l has been intersecting plane B as well.

Since, a line has not been capable of intersecting its own plane, the line p has been drawn in such a manner that it has been on the same plane as line l. Thus, option C is correct.

For more information about the planes of intersection, refer to the link:

https://brainly.com/question/24485355