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pointsP,Q,R and s divided a line …

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pointsP,Q,R and s divided a line segment joining (2,6) and B(7,-4) in five equal parts.find the coordinates of P and R
  • 1 answers

Gaurav Seth 6 years, 3 months ago

Since, the points P, Q, R and S divide the line segment joining the points 

A (1, 2) and B (6, 7) in five equal parts, so

AP = PQ = QR = R = SB

Here, point P divides AB in the ratio of 1 : 4 internally So using section formula, we get

The point Q divides AB in the ratio of 2 : 3 internally. So using section formula, we get

The point R divides AB in the ratio of 3 : 2 internally So using section formula, we get

Hence, the coordinates of the points P, Q and R are (2,3) , (3,4) and (4,5) respectively

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