Question

a) two planes intersecting in a point.
o b) two planes intersecting in a line.
o c) two lines intersecting in a point.
image of a geometric object (possibly a net or a 3d shape) is present below the options

Explanation:

Step1: Recall geometric principles

In 3D geometry, two planes either are parallel (no intersection), intersect in a line (if they are not parallel), or are coincident (same plane). Two lines can intersect at a point, be parallel, or skew. Two planes cannot intersect at a single point (that's a property of lines or a line and a plane, not two planes).

Step2: Analyze each option

• Option A: Two planes intersecting in a point. This is impossible because two planes, if they intersect, intersect in a line (infinite points), not a single point. So A is incorrect.
• Option B: Two planes intersecting in a line. This is the correct geometric principle. When two planes are not parallel, their intersection is a line.
• Option C: Two lines intersecting in a point. The object shown (a 3D shape, likely a prism or a combination with planar faces) involves planes, not two lines as the main geometric relationship here. So C is incorrect.

Answer:

B) Two planes intersecting in a line.