Question

on a number line coordinate of P Q R are 6, -10 and 12 respectively state true or false d( P,R) + d ( RQ) = ( PQ)​

Answer 1

Correct Question :-

On a number line coordinate of P -R- Q are 6, -10 and 12 respectively state true or false d(P,R) + d (R,Q) = d(P,Q).

Answer :-

False [d(P,R) + d(R,Q) ≠ d(P,Q)]

Given :-

• PQ = 6
• QR = -10
• PR = 12

To Find :-

• State true or false : d(P,R) + d(R,Q) = d(P,Q).

Solution :-

We have, PQ = 6, QR = -10, PR = 12.

According to Question :-

Case (I) :-

↪d(P,R) + d(R,Q) = 12 + (-10)

↪d(P,R) + d(R,Q) = 12 - 10

↪d(P,R) + d(R,Q) = 2 __________eqn.(1)

Case (II) :-

↪d(P,Q) = 6 ________________eqn. (2)

From eqn.(1)&(2) :-

d(P,R) + d(R,Q) ≠ d(P,Q)

.°. P - R - Q is not collinear.

Answer 2

Answer:

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