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Q.

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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a

11/12

b

11/8

c

25/8

d

13/8

answer is B.

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Detailed Solution

Slope of line through origin is, 

m=21x13=x+13

or 633x=13x+13

or 16x=50

or x=258

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Hence, m=258+1×13

=3324=118

 

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