Question

Find the ratio in which S divides AB.

Answer 1

Hint: To find the ratio in which S divides AB we check if all the partitions are equal and then we find out the number of parts S holds with respect to the total parts in AB.

Complete step-by-step answer:
Observing the figure we could say it is drawn to scale, i.e. each part on line AB has equal measure
i.e. AM = AN = NO = OP = PQ = QS = SB

To find the ratio we calculate the number of parts into which S divides the line AB.

From the figure, S divides AB into 6 parts to the left side and 1 part to its right.

Hence the ratio in which S divides AB is ${\text{6 : 1}}$.


Note – The key in solving such problems is to identify, from the figure that all the parts the line AB is divided into are equal.
Ratio is the quantitative relation between two amounts showing the number of times one value contains or is contained within the other.