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

Directions: Q. 21 to 25

To raise social awareness about hazards of cancer, an organisation decided to start a campaign. 5 students were asked to prepare campaign banners in the shape of a triangle. The vertices of the triangle are, A (0,6), 5(6, 6) and C(1, 1).

Based on the above information, answer the following questions.

The coordinates of centroid of \[\Delta ABC\] are

A) \[\left( \frac{2}{3},\,\frac{7}{3} \right)\]

B) \[\left( \frac{7}{3},\,\frac{13}{3} \right)\]

C) \[\left( \frac{-2}{3},\,\frac{7}{3} \right)\]

D) \[\left( \frac{7}{3},\,\frac{2}{3} \right)\]

Correct Answer: B

Solution :

Here, A(0, 6), B(6, 6), C(1, 1)

\[\therefore\] Coordinates of centroid of \[\Delta ABC\]

\[=\left( \frac{0+6+1}{3},\frac{6+6+1}{3} \right)\]

\[=\left( \frac{7}{3},\frac{13}{3} \right)\]