Chapter 3, Problem 17CR

To determine

To calculate: The locations of P and S

Answer to Problem 17CR

Point S $=28$ will lie on the right of $0$ and point P $=-14$ will lie on the left of $0$ .

Explanation of Solution

Given information: Q is the mid-point of $\overline{PR}$ and the ratio of PQ to QS is $2:5$ are provided in the question which will help to find the solution.

Calculation: Now, according to question

  →$\frac{PQ}{QS}=\frac{2}{5}$

  →$\frac{12}{QS}=\frac{2}{5}$ (here, $PQ=12$ )

So, $QS=30$

And, $PQ+QS=12+30$ ( $\because P=-14$ )

So that, $S=-14+42$

Hence, $S=28$

Conclusion: Point S will lie on the right of $0$ and point P will lie on the left of $0$