Question
Write whether the following statements are 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” is known as Playfair’s axiom.

Answer

True.Solution:
The given statement is true, because it is an equivalent version of Euclid’s fifth postulate.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

If $AOB$ is a diameter of a circle and $C$ is a point on the circle, then $\mathrm{AC}^2+\mathrm{BC}^2=A B^2$.
Write True or False in the following. Give reasons for your answer: A triangle $ABC$ can be constructed in which $AB = 5\ cm,$ $\angle\text{A}=45^\circ$ and $BC + AC = 5\ cm.$
Which of the following statements are true $(T)$ and which are false $(F)?$ In any quadrilateral, if a pair of opposite sides is equal, it is a parallelogram.
The area of the isosceles triangle is $\frac{5}{4}\sqrt{11}\text{cm}^2,$ if the perimeter is $11\ cm$ and the base is $5\ cm$
Write True or False and justify your answer in the following: Two chords $AB$ and $AC$ of a circle with centre $O$ are on the opposite sides of $OA.$ Then $\angle\text{OAB}=\angle\text{OAC}.$
State whether the given statement is true of false. The product of a nonzero rational number and an irrational number is a rational number.
Write the truth value $(T/F)$ of the following with suitable reasons: A circle is a plane figure.
The following statements are true? A line segment has no definite length.
Write True or False and justify your answer in the following: The volume of the largest right circular cone that can be fitted in a cube whose edge is $2r$ equals to the volume of a hemisphere of radius $r.$
Write True or False and justify your answer: In the figure, $ABCD$ and $EFGD$ are two parallelograms and $G$ is the mid-point of $CD.$ Then, $\text{ar}(\triangle\text{DPC})=\frac{1}{2}\text{ar}(\text{EFGD}).$