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Postulate,Theorem and Proof

An infinite n...

Question

An infinite number of lines can pass through a given $_____$

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Solution

A point has a position but it has no length, width, or thickness.
Hence, an infinite number of lines can pass through a point.

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Similar questions

Q. Which of the following is a false statement?
(a) An infinite number of lines can be drawn through a given point.
(b) A unique line can be drawn through two given points.
(c) Ray

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

.
(d) A ray has one end-point.

Through a given point, infinitely many lines can be drawn.

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.

Q. 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.

(i i)

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

(i i i)

A line can be produced indefinitely on both sides.

(i v)

If two circles are equal, then their radii are equal.

(v)

A B = P Q

P Q = X Y

A B = X Y

.

Q. Number of lines that can pass through a given point is ____.

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