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Coordinate Geometry — Maths STD 10 — Question

CBSE BoardEnglish MediumSTD 10MathsCoordinate Geometry1 Mark
MCQ
The point P which divides the line segment joining the points A(2, -5) and B(5, 2) in the ratio 2 : 3 lies in the quadrant.
  • A
    I
  • B
    II
  • C
    III
  • ✓
    IV
✓

Answer

Correct option: D.
IV
P divides AB in the ratio 2 : 3.Let the coordinates of P be (x, y).
We know that, the centra is the mid-point of the diameter.
Using the section formula, we get:
$(\text{x},\text{y})=\Big(\frac{2(5)+3(2)}{2+3},\frac{2(2)+3(-5)}{2+3}\Big)$
$\Rightarrow\ (\text{x},\text{y})=\Big(\frac{16}{5},\frac{-11}{5}\Big)$
We know that, points of the from (a, -b) lie in quadrant IV.

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