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rectangular cartensian co-ordinates — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHSrectangular cartensian co-ordinates1 Mark
MCQ
The three points $(-2,2), \,(8,-2)$ and $(-4, -3)$ are the vertices of
  • A
    An isosceles triangle
  • B
    An equilateral triangle
  • ✓
    A right angled triangle
  • D
    None of these
✓

Answer

Correct option: C.
A right angled triangle
c
(c) $a = \sqrt {{{(8 + 2)}^2} + {{( - 2 - 2)}^2}} = \sqrt {116} $

$b = \sqrt {{{( - \,4 - \,8)}^2} + {{( - \,3 + 2)}^2}} = \sqrt {145} $

$c = \sqrt {{{( - \,4 + 2)}^2} + {{( - \,3 - 2)}^2}} = \sqrt {29} $

$ \Rightarrow \,\,{a^2} + {c^2} = {b^2}$

Hence it is right angled triangle.

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