Coordinate Geometry - Distance and Section Formula - Proof-based Questions - Problem Set

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Q. If a point P divides the segment joining A(2, 1) and B(8, 5) in the ratio 3:1, what are the coordinates of P?
  • A. (5, 3)
  • B. (6, 4)
  • C. (4, 2)
  • D. (3, 2)
Q. If point C(0, 0) and point D(6, 8) are endpoints of a line segment, what is the length of CD?
  • A. 10
  • B. 8
  • C. 6
  • D. 12
Q. If point P divides the segment joining (2, 3) and (8, 7) in the ratio 3:1, what are the coordinates of P?
  • A. (5, 4)
  • B. (6, 5)
  • C. (7, 6)
  • D. (4, 5)
Q. If the coordinates of point A are (x, y) and point B are (x+4, y+3), what is the distance AB?
  • A. √34
  • B. √25
  • C. √29
  • D. √20
Q. What is the midpoint of the line segment joining the points (5, 7) and (9, 3)?
  • A. (7, 5)
  • B. (6, 5)
  • C. (7, 4)
  • D. (8, 5)
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