Question

If three points are collinear then what is the area of the triangle formed by them?

• A. \( 1 \)
• B. \( 2 \)
• C. \( 0 \)
• D. \( 3 \)

Hint:

Collinear points mean they lie on the same straight line. The area of any triangle formed by collinear points is always zero.

Answer 1

The Correct Option is C

If three points are collinear, they lie on the same straight line. The area of a triangle is given by:
\[ \text{Area} = \frac{1}{2} \left| x_1(y_2 - y_3) + x_2(y_3 - y_1) + x_3(y_1 - y_2) \right| \] Since all three points are collinear, substituting their coordinates in the above formula results in zero.