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Question

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 separates a plane into ......... parts namely the ...........and the ........... itself.

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Solution

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

(ii) Two distinct lines 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 perpendicular line which passes through the given point and is perpendicular to the given line.

(iv) A line separates a plain into three parts namely the two half planes and the line itself.


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