State whether the following statement is true or false.

A unique line in a plane is defined by two distinct points.

see full answer

Your Exam Success, Personally Taken Care Of

1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.

An Intiative by Sri Chaitanya

True

False

answer is A.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

We have given a unique line in a plane.
We know that a line is a completely straight, one-dimensional shape that extends infinitely in both directions and has no thickness.
A plane is a flat, indefinitely long, two-dimensional surface.
Question Image

In Euclidean geometry, only one line may be made by joining any two points, and there is only one line that exists for any two points.
The distinct points that form line AB in the above figure are A and B.
Consequently, a unique line in a plane is defined by two distinct points.
Thus, the given statement is true.
Hence, option (1) is correct.

Watch 3-min video & get full concept clarity