Three towns lie on a straight highway: P(-1, 1), Q(a, b) and R(11, 7), with Q dividing PR in ratio 1:5. Also a rest stop S is the midpoint of PQ. Find the coordinates of Q, then give the x-coordinate of S.

Question

Accepted Answer

0. Q divides PR 1:5: Qx=1 · 11+5 · (-1)/6=11-5/6=1; Qy=1 · 7+5 · 1/6=12/6=2, so Q=(1,2). S=midpoint PQ=(-1+1/2,1+2/2)=(0, 1.5). x-coordinate of S = 0.

Three towns lie on a straight highway: P(-1, 1), Q(a, b) and R(11, 7), with Q dividing PR in ratio 1:5.
Also a rest stop S is the midpoint of PQ.
Find the coordinates of Q, then give the $x$ -coordinate of S.

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More Class 10 Section Formula practice

Three towns lie on a straight highway: P(-1, 1), Q(a, b) and R(11, 7), with Q dividing PR in ratio 1:5.Also a rest stop S is the midpoint of PQ.Find the coordinates of Q, then give the x-coordinate of S.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Section Formula practice

Three towns lie on a straight highway: P(-1, 1), Q(a, b) and R(11, 7), with Q dividing PR in ratio 1:5.
Also a rest stop S is the midpoint of PQ.
Find the coordinates of Q, then give the $x$ -coordinate of S.