Question

co ordinate of point Q on a number line is -3.find the co-ordinates of point on the number line which which are at a distance of 7 unit from point Q
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Answer 1

it is very easy to tell it. keep trying

The co-ordinates of points P and Q are 33 and 55 respectively. We know that 3>53>5.

Now, d(P,Q)=3(5)=3+5=8d(P,Q)=3(5)=3+5=8

The co-ordinates of points Q and R are 55 and 66 respectively. We know that 6>56>5.

Now, d(Q,R)=6(5)=6+5=11d(Q,R)=6(5)=6+5=11

The co-ordinates of points P and R are 33 and 66 respectively. We know that 6>36>3.

Now, d(P, R) =63=3=63=3

d(P,Q)−d(P,R)=83=5;d(Q,R)=11d(P,Q)−d(P,R)=83=5;d(Q,R)=11

So, d(P,Q)−d(P,R)≠d(Q,R)d(P,Q)−d(P,R)≠d(Q,R)

Hence, the given statement is false.