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Straight Lines — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsStraight Lines1 Mark
MCQ
The distance between $(6, 5)$ and $(-3, 4)$ is:
  • ✓
    $\sqrt{82}$
  • B
    $\sqrt{83}$
  • C
    $\sqrt{84}$
  • D
    None
✓

Answer

Correct option: A.
$\sqrt{82}$
The given points are $(6, 5)$ and $(-3, 4)$
The distance is given as $=\sqrt {(\text{x}_2-\text{x}_1)^2+(\text{y}_2-\text{y}_1)^2}$
$=\sqrt {(6+3)^2+(4-5)^2}$
$=\sqrt {9^2+1^2}$
$=\sqrt {81+1}$
$=\sqrt {82}$

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