Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • 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 ca

1.   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.

  

Answers (1)

best_answer

i) FALSE 
Because there is the infinite number of lines that can be passed through a single point. As shown in the diagram below

ii)  FALSE 
Because only one line can pass through two distinct points. As shown in the diagram below

iii)  TRUE
Because a terminated line can be produced indefinitely on both sides. As shown in the diagram below

iv) TRUE
Because if two circles are equal, then their centre and circumference will coincide and hence, the radii will also be equal. 

v) TRUE
By Euclid’s first axiom things which are equal to the same thing, are equal to one another

Posted by

Gautam harsolia

View full answer

Similar Questions

Trending Articles/News

anam-khan

CBSE Board Exam 2025: Class 10, 12 practical exam dates out at cbse.gov.in; passing marks
anam-khan

CBSE urges schools to complete 100% registration of Class 9, 11 students by October 16; late fee for delays

Latest Question