The vertices of a parallelogram ABCD are A3,1,B13,6,C13,21 and D3,16. If a line passing through the origin divides the parallelogram into two congruent parts, then the slope of the line is

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11/12

11/8

25/8

13/8

answer is B.

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Detailed Solution

Slope of line through origin is, m=21−x13=x+13or 63−3x=13x+13or 16x=50or x=258Hence, m=258+1×13=3324=118

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