9th Class
Mathematics
Coordinate Geometry
Question Bank
Co-ordinate Geometry
question_answer
In the given fig-lire, what is the length of the median through vertex C. \[\mathbf{A}\left( \mathbf{1}\mathbf{.1} \right)\mathbf{,}\,\,\mathbf{B}(\mathbf{13},-~\mathbf{5})\] and \[\mathbf{C}\,\mathbf{(5,}-\mathbf{8)}\]
A) \[2\sqrt{3}\]
B) \[3\sqrt{2}\]
C) \[5\sqrt{2}\]
D) \[2\sqrt{5}\]
Correct Answer:
D
Solution :
(d): Mid-point of AB (7, 3) \[CD=\sqrt{{{(7-5)}^{2}}+{{(3-(~1))}^{2}}}=\sqrt{4+16}=\sqrt{20}=2\sqrt{5}\]