Q1 of 29 Page 11

Select the correct alternative from the answers of the question given below.

If P – Q – R and (P, Q) = 2, d(P,R) =10, then find d(Q, R).

d (P, Q) = 2 and d (P, R) = 10

Now, we know that for any three-distinct collinear points P, Q and R, the point Q is said to be in between P and R if


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


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


⇒ d (Q, R) = d (P, R) - d (P, Q) = 10 – 2 = 8


So, the correct option is B.

More from this chapter

All 29 →
1

Select the correct alternative from the answers of the question given below.

How many lines are determined by three distinct points?

 1

Select the correct alternative from the answers of the question given below.

Find d(A, B), if co-ordinates of A and B are - 2 and 5 respectively.

 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)


iii. d(R,P) + d(P,Q) = d(R,Q)


iv. d(P,Q) - d(P,R) = d(Q,R)

 3

Co-ordinates of some pairs of points are given below. Hence find the distance between each pair.

i. 3, 6 ii. - 9, - 1


iii. - 4, 5 iv. x, - 2


v. x + 3, x – 3 vi. -25, - 47


vii. 80, - 85