Riya draws a straight road (line) on her map and marks a school point P that is not on the road. She wants to draw a path through P that runs parallel to the road and never meets it. Using the Playfair form of Euclid's fifth postulate, how many such parallel paths can she draw through P?

Question

Accepted Answer

1. By Playfair's axiom (equivalent to Euclid's fifth postulate), through a point not on a line exactly one parallel line can be drawn. So Riya can draw exactly 1 such path.

Riya draws a straight road (line) on her map and marks a school point P that is not on the road. She wants to draw a path through P that runs parallel to the road and never meets it.
Using the Playfair form of Euclid's fifth postulate, how many such parallel paths can she draw through P?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 9 The Fifth Postulate practice

Riya draws a straight road (line) on her map and marks a school point P that is not on the road. She wants to draw a path through P that runs parallel to the road and never meets it.Using the Playfair form of Euclid's fifth postulate, how many such parallel paths can she draw through P?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 9 The Fifth Postulate practice

Riya draws a straight road (line) on her map and marks a school point P that is not on the road. She wants to draw a path through P that runs parallel to the road and never meets it.
Using the Playfair form of Euclid's fifth postulate, how many such parallel paths can she draw through P?