State whether the following statement is True or False. Justify your answer.
"For every line $l$ and for every point $P$ not lying on a given line $l$,there exists a unique line $m$ passing through $P$ and parallel to $l$." This is known as Playfair's axiom.

  • A
    True
  • B
    False
  • C
  • D

Explore More

Similar Questions

Solve the following question using the appropriate Euclid's axiom:
In the figure,we have $BX = \frac{1}{2} AB$,$BY = \frac{1}{2} BC$ and $AB = BC$.
Show that $BX = BY$.

Which of the following needs a proof?

Find the solution to the equation $2x = 50$ and specify the Euclid's axiom used in it.

The $\ldots \ldots \ldots$ was an important manual for geometric structures in ancient India.

Euclid divided his famous treatise 'The Elements' into $\ldots \ldots \ldots$ chapters.

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo