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1. Which of the following st.atements 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 figure gfoen below, if AB = PQ and PQ = XY, then AB = XY. A --4 e P --4 a x --4 v

1. Which of the following st.atements 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 figure gfoen below, if AB = PQ and PQ = XY, then AB = XY.
A --4 e P --4 a x --4 v

Grade:12th pass

1 Answers

Pawan Prajapati
askIITians Faculty 8741 Points
6 months ago
) False, through one point, we can draw lines in difterent directions, so infinite lines can be drawn. (ii) False, only one line passes through two distinct points. (iii) True, according to Euclid's postulate. (iv) True, if we superimpose one circle on the other by coinciding their centres, then their boundrics coincide. So their radii are equal. (v) True, things which are equal to the same things are equal to one another.

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