Question

2 On a number line, co-ordinates of P, Q, R are 3, - 5 and 6 respectively. State with reason whether the following statements are true or false. $ (i) d(P,Q) + d(Q,R)= d(P,R) (ii) d(P,R) + d(R,Q) = d(P,Q) fii) d(R.P) + d(P,Q) = 2(R,Q) omitted (iv) d(P,Q) – d(P,R) = d(Q.R) std 9 ssc board​

Answer 1

Answer:

We know that 6 > −5. The co-ordinates of points P and R are 3 and 6 respectively. We know that 6 > 3. Hence, the given statement is true.

Step-by-step explanation:

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Answer 2

Answer

Correct option is

B

False

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)

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=d(P,R)

Hence, the given statement is false.