10th Class Mathematics Coordinate Geometry Question Bank MCQs - Coordinate Geometry

The points \[(2,5),\] \[(4,-1)\] and \[(6,-7)\] are vertices of an/a:

A) isosceles triangle

B) equilateral triangle

C) right angled triangle

D) None of these

Correct Answer: D

Solution :

[d] Let \[A(2,5),\] \[B(4,-1)\]and \[C(6,-2)\]

\[AB=\sqrt{{{(4-2)}^{2}}+{{(-1-5)}^{2}}}=\sqrt{40}\]

\[BC=\sqrt{{{(6-4)}^{2}}+{{(-7+1)}^{2}}}=\sqrt{40}\]

\[AC=\sqrt{{{(6-2)}^{2}}+{{(-7-5)}^{2}}}=\sqrt{160}=2\sqrt{40}\]

\[\therefore \,\,\,\,AB+BC=AC\]

Here\[AB+BC=AC\]

\[\therefore \] A, B and Care coilinear.