Q.

The vertices of a parallelogram ABCD are A3,1, B13,16,​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=21−x13=x+13          or 63−3x=13x+13                         or 16x=50or x=258Hence, m=258+1×13=3324=118.
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The vertices of a parallelogram ABCD are A3,1, B13,16,​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