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First Four Postulates

Which stateme...

Question

Which statement is false?
(a) Two circles are equal only when their radii are equal.
(b) A figure formed by line segments is called a rectilinear figure.
(c) Only one line can pass through a single point.
(d) A terminated line can be produced indefinitely on both sides.

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Solution

(c) Only one line can pass through a single point.
Infinitely many lines can pass through a single point.

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Similar questions

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 the following figure, if AB = PQ and PQ = XY, then AB = XY.

Which of the following statement are true and which are false?

Give reason for your answer.

1. Only one line can pass through a single point.

2. There are an infinite number of lines which pass through two distinct points.

3. A terminated line can be produced indefinitely on both the sides.

4. If two circles are equal, then the radii are equal.

5. In figure, if AB = PQ and PQ = XY, then AB = XY

(i)

(i i)

(i i i)

(i v)

(v)

A B = P Q

P Q = X Y

A B = X Y

Which of the following is a true statement ?

(a) Only a unique line can be drawn to pass through a given point.

(b) Infinitely many lines can be drawn to pass through two given points.

(d) A line has a definite length.

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