State the following statement is True or False
If two distinct lines are intersecting each other in a plane then they cannot have more than one point in common.

True

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False

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Solution

The correct option is A True
suppose lines $l 1$ and $l 2$ intersect at two disticnt points say P and Q.Then $l 1$ contains points P and Q.
Also, $l 2$ contains points P and Q.
So two lines $l 1$ and $l 2$ pass through two distinct points P and Q.
But only one line can pass through two different points. (axiom 3)
Hence, two lines cannot have more than one point in common.
$∴$ Option A is correct.

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Similar questions

State the following statement is True or False

Two distinct lines intersecting each other in a plane can have two points in common

Q. Two distinct lines in a plane cannot have more than one point in common.

Q. Which of the following statements are true?
(i) A line segment has no definite length.
(ii) A ray has no end-point.
(iii) A line has a definite length.
(iv) A line

\overset{\leftrightarrow}{A B}

is same as line

\overset{\leftrightarrow}{B A}

.
(v) A ray

\underset{A B}{\to}

is same as ray

\underset{B A}{\to}

.
(vi) Two distinct points always determine a unique line.
(vii) Three lines are concurrent if they have a common point.
(viii) Two distinct lines cannot have more than one point in common.
(ix) Two intersecting lines cannot be both parallel to the same line.
(x) Open half-line is the same thing as ray.
(xi) Two lines may intersect in two points.
(xii) Two lines are parallel only when they have no point in common.

Fill in the blanks so as to make the following statements true :

(i) Two distinct points in a plane determine a _________ line.

(ii) Two distinct ______ in a plane cannot have more than one point in common.

(iii) Given a line and a point, not on the line, there is one and only______ line which passes through the given point and is ______ to the given line.

(iv) A line separtes a plane into ______ parts namely the ______ and the ______ itself.

Q. Two distinct lines cannot have more than one point in common.

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State the following statement is True or FalseIf two distinct lines are intersecting each other in a plane then they cannot have more than one point in common.

State the following statement is True or False
If two distinct lines are intersecting each other in a plane then they cannot have more than one point in common.