Q. 164.0( 4 Votes )
Prove that two distinct lines cannot have more than one point in common.
Suppose lines “l” and “m” intersect at two points P and Q. Then, line P must contain both the points P and Q.
Also, line m must contain both the points P and Q.
But only one line can pass through two different points.
Thus, the assumption we started with that two lines can pass through two distinct point is wrong.
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In the given figure, it is given that AC=BD,
Prove that AB=CD.
RS Aggarwal & V Aggarwal - Mathematics