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Coordinate Geometry — Maths STD 10 — Question

CBSE BoardEnglish MediumSTD 10MathsCoordinate Geometry1 Mark
MCQ
The distance between the points $(-1, -5)$ and $(-6, 7)$ is :
  • A
    $144$ units
  • B
    $169$ units
  • C
    $12$ units
  • ✓
    $13$ units
✓

Answer

Correct option: D.
$13$ units
Let point $A$ be $(x1,y1) =(-1,-5)$ and point $B(x2,y2) =(-6,7)$
$\therefore$ Distance between $A$ and $B$
Using distance formula:
$=\sqrt{\text{(x2-x1)}+\text{(y2-y1)}^2}$
$=\sqrt{(-6+1)^2+(7+5)^2}$
$=\sqrt{25+144}$
$=\sqrt{169}=13\text{ units}$

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