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Coordinate Geometry — Maths STD 10 — Question

CBSE BoardEnglish MediumSTD 10MathsCoordinate Geometry1 Mark
MCQ
The mid$-$point of line segment joining the points $(-3,9)$ and $(-6,-4)$ is
  • A
    $\left(\frac{-3}{2}, \frac{-13}{2}\right)$
  • B
    $\left(\frac{9}{2}, \frac{-5}{2}\right)$
  • ✓
    $\left(\frac{-9}{2}, \frac{5}{2}\right)$
  • D
    $\left(\frac{9}{2}, \frac{5}{2}\right)$
✓

Answer

Correct option: C.
$\left(\frac{-9}{2}, \frac{5}{2}\right)$
The mid$-$point of the line joining these two points can be found with the help of mid$-$point formula
$\left(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\right)$
$\Rightarrow \text { mid-point, } O=\left(\frac{-3+(-6)}{2}, \frac{9+(-4)}{2}\right)$
$\Rightarrow \text { mid-point, } O=\left(\frac{-9}{2}, \frac{5}{2}\right)$

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