From the information given below, find which of the point is between the other t If the points are not collinear, state so. d(P, Q) = 10, d(Q, R) = 3 (i) d(P, R) = 7, (ii) d(R, S) = 8, d(S, T) = 6, d(R, T) = 4 (iii) d(A, B) = 16, d(C, A) = 9, d(B, C) = 7 (iv) d(L, M) = 11, d(M, N) = 12, d( NL) = 8 (v) d(X, Y) = 15, d(Y,Z) = 7, d(X, Z) = 8 (vi) d(D, E) = 5, d(E, F) = 8, d(D, F) = 6 n
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Solution:
We have,
d (P, R) =7 ; d (P, Q) = 10 ; d (Q, R) = 3
Now,
d (P, R) + d (Q, R) = 7+3
Or,
d (P, R) + d (Q, R) = 10
•°• d (P, Q) = d (P, R) + d (Q, R)
Hence, the points P, R and Q are
Collinear
The point R is between P and Q i. e.,
P - R - Q
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