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Subject - Mathematics:

General

MCQ - 377-9109

Question:

In what ratio does the point P (2, – 5) divide the line segment joining A (– 3,5) and B(4, – 9)?

  1. 3:2
  2. 2:1
  3. 5:2
  4. 2:1

Correct Answer: C

Explanation:

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Let the point P (2, – 5) divide the line segment joining A (– 3,5) and B(4, – 9) in the ratio m:n.
Let (x,y) ≡ (2, – 5)
(x1,y1) ≡ (– 3,5)
and (x2,y2) ≡ (4, – 9)
Using Section Formula,

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⇒ 2 × (m + n) = 4m – 3n
⇒ 2m + 2n = 4m – 3n
⇒ 5n = 2m
∴ m:n = 5:2
Since the ratio is positive, Point P divides the line segment AB internally in the ratio 5:2.

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