Straight LineHardBloom L3
Question
Vertices of a parallelogram $ABCD$ are $A(3,1),B(13,6),C(13,21)$ and $D(3,16)$. If a line passing through the origin divides the parallelogram into two congruent parts then the slope of the line is :
Options
A.$\frac{11}{12}$
B.$\frac{11}{8}$
C.$\frac{25}{8}$
D.$\frac{13}{8}$
Solution
Sol. [Key Concept: A line through $O$ bisecting a parallelogram passes through its centre; the slope is the direction of the centre.]
Line passes through $(0,0)$ and $(8,11)$
⇒ its equation is $y = \frac{11}{8}x$
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