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First Four Postulates

Which of the ...

Question

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.

(c) If two circles are equal,then their radii are equal.

(d) A line has a definite length.

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Solution

ANSWER:
(c) If two circles are equal, then their radii are equal.

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Similar questions

(i)

(i i)

(i i i)

(i v)

(v)

A B = P Q

P Q = X Y

A B = X Y

\underset{A B}{\to} = ray \underset{B A}{\to}

(i) How many lines can be drawn to pass through a given point ?

(ii) How many lines can be drawn to pass through two given point ?

(iii) In how many points can the two lines at the most intersect ?

(iv) If A,B,C are three collinear points,name all the line segments determined by them.

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.

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