Question

Which one of the following statement is true?

• A. Only one line can pass through a single point
• B. If two circles are equal, then their radii are not equal
• C. There are an infinite number of lines which pass through two distinct points
• D. Two distinct lines cannot have more than one point in common

Answer 1

The correct option is D

Two distinct lines cannot have more than one point in common

Statement (A) is incorrect as through a single point infinite number of lines can pass.

Statement (B) is incorrect as through 2 distinct points, one and only one line can pass which contains both the points.

Statement (C) is incorrect as, if the 2 circles are equal then their radii are also equal.

Statement (D) is correct i.e. 2 distinct lines cannot have more than one point in common.