Question

d(P,Q)+d(Q,R)=d(P,R) On a number line, co-ordinates of P,Q,R are 3,-5 and 6 respectively. State with reason whether the given statements are true or false.

Answer 1

Hi ,

<----•Q(-5)----•P(3)-------•R(6)----->

D(P,Q) = 3 - ( -5 ) = 3 + 5 = 8

D(Q,R) = 6 - ( -5 ) = 6 + 5 = 11

D(P,R ) = 6 - 3 = 3

According to the problem given ,

LHS = D(P,Q) + D(Q,R)

= 8 + 11 = 19

RHS = D(P,R) = 3

LHS ≠ RHS

Therefore ,

Given statement is False.

I hope this helps you.

: )

Answer 2

Answer:

False

Step-by-step explanation:

d(P,Q)= 3-(-5)

= 3+5

= 8

d(Q,R)= 6-(-5)

= 6+5

= 11

d(P,R)= 6-3

= 3

According to the problem given,

LHS= d(P,Q)+d(Q,R)

= 8+11

= 19

RHS= d(P,R)= 3

LHS ≠ RHS

Therefore, given statement is false