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11. three dimension geometry — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMaths11. three dimension geometry1 Mark
MCQ
Points $(-2, 4, 7), (3, -6, -8)$ and $(1, -2, -2)$ are
  • ✓
    Collinear
  • B
    Vertices of an equilateral triangle
  • C
    Vertices of an isosceles triangle
  • D
    None of these
✓

Answer

Correct option: A.
Collinear
a
(a) Here, $\frac{{(3 - ( - 2))}}{{1 - 3}} = \frac{{ - 6 - 4}}{{ - 2 - ( - 6)}} = \frac{{ - 8 - 7}}{{ - 2 - ( - 8)}}$

==> $ - \frac{5}{2} = - \frac{5}{2} = - \frac{5}{2}$ Obviously, points are collinear.

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