In a number line there are eight points.They are lying on number line such that US = SR = RT and AP = PQ = QB. Find the rational numbers represented by P, Q, R, S. [4 MARKS]

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Solution

Each Point : 1 Mark each

As given in the question AP = PQ = QB = $\frac{1}{3}$ , because interval of one between AB is divided by into three equal parts.
Similarly, US = SR = RT = $\frac{1}{3}$ , since the interval of one between U and T is divided into three equal parts.

So, value of P = 2+ $\frac{1}{3}$ = $\frac{7}{3}$ ;

Q = $\frac{7}{3}$ + $\frac{1}{3}$ = $\frac{8}{3}$

Similarly for R= -1 - $\frac{1}{3}$ = - $\frac{4}{3}$ ;

S= - $\frac{4}{3}$ - $\frac{1}{3}$ = - $\frac{5}{3}$

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[4 MARKS]

Q. The points

P, Q, R, S, T, U, A

and

B

on the number line are such that,

T R = R S = S U

and

A P = P Q = Q B

. Name the rational numbers represented by

P, Q, R

and

S

Question 5
The points P, Q R, S, T, U, A and B on the number line are such that, TR = RS = SU and AP = PQ = QB. Name the rational numbers represented by P, Q, R and S