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Question

(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.

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Solution

(i) An infinite number of lines can be drawn to pass through a given point.
(ii) One and only one line can pass through two given points.
(iii) Two given lines can at the most intersect at one and only one point.
(iv) \overline { AB }   , \overline { BC }   , \overline { AC }

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