Question

1. On a number line, coordinates of P, Q, R are 3. - 5 and 6 respectively. State with reason whether the
following statement is true or false.
d(P. Q) --d{P. R) = diQ. R)​

Answer 1

Answer:

false

Step-by-step explanation:

The co-ordinates of points P and Q are 3 and −5 respectively. We know that 3>−5.

Now, d(P,Q)=3−(−5)=3+5=8

The co-ordinates of points Q and R are −5 and 6 respectively. We know that 6>−5.

Now, d(Q, R) =6−(−5)=6+5=11

The co-ordinates of points P and R are 3 and 6 respectively. We know that 6>3.

Now, d(P, R)=6−3=3

d(P,Q)+d(Q,R)=8+11=19;d(P,R)=3

So, d(P,Q)+d(Q,R)



=d(P,R)

Hence, the given statement is false.

Answer 2

Answer:

The co-ordinates of points P and Q are 3 and −5 respectively. We know that 3>−5.

Now, d(P,Q)=3−(−5)=3+5=8

The co-ordinates of points Q and R are −5 and 6 respectively. We know that 6>−5.

Now, d(Q, R) =6−(−5)=6+5=11

The co-ordinates of points P and R are 3 and 6 respectively. We know that 6>3.

Now, d(P, R)=6−3=3

d(P,Q)+d(Q,R)=8+11=19;d(P,R)=3

So, d(P,Q)+d(Q,R)



=d(P,R)

Hence, the given statement is false.