Home
Class 6
MATHS
Given two distinct points on a plane. On...

Given two distinct points on a plane. Only _______line (s) can pass through them.

A

one

B

two

C

three

D

four

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to determine how many lines can pass through two distinct points on a plane. ### Step-by-Step Solution: 1. **Identify the Points**: Let's denote the two distinct points on the plane as Point A and Point B. 2. **Understanding Lines**: A line is defined by two distinct points. This means that if we have two points, we can draw a straight line that connects them. 3. **Drawing the Line**: When we draw a line that connects Point A and Point B, we can see that this line is unique. It is the only straight line that can be drawn through both points. 4. **Conclusion**: Since we can only draw one straight line that connects both Point A and Point B, we conclude that only one line can pass through the two distinct points. ### Final Answer: Only **one line** can pass through two distinct points on a plane. ---
Promotional Banner

Similar Questions

Explore conceptually related problems

Given one pints on a plane ___________ number of lines can pass through it.

Given three distinct points in a plane, how many lines can be drawn by joining them?

Given a line and a point, not on the line, there is one and only.... line which passes through the given point and is ..... to the given line.

mark any two points P\ a n d\ Q in your note book and draw a line passing through the points. How many lines can you draw passing through both the points?

Which of the following statements are true and which are false? Give reasons for your answers. (i) Only one line can pass through a single point. (ii) There are an infinite number of lines which pass through two distinct points. (iii) A terminated line can be produced indefinitely on both the sides. (iv) If two circles are equal, then their radii are equal. (v) In Fig. 5.9, if AB = PQ and PQ = XY, then AB = XY.

The graph y=2x^3-4x+2a n dy=x^3+2x-1 intersect in exactly 3 distinct points. Then find the slope of the line passing through two of these points.

The graph y=2x^3-4x+2a n dy=x^3+2x-1 intersect in exactly 3 distinct points. Then find the slope of the line passing through two of these points.

Two distinct points in a plane determine a ................ line

How many planes can be made to pass through two points?

How many lines can be drawn to pass through a given point?