Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Calculus

Question:

Area of the triangle formed by the points (-2, 1), (-3, 2) and (-4, 3) is :

Options:

2 sq.units

4 sq.units

-4 sq.units

0 sq.units

Correct Answer:

0 sq.units

Explanation:

The correct answer is Option (4) → 0 sq.units

Three points given are: (-2, 1), (-3, 2) and (-4, 3)

Check whether they are collinear or not?

$⇒\frac{x_2-x_1}{y_2-y_1}=\frac{x_3-x_1}{y_3-y_1}$

$⇒\frac{-3+2}{2-1}=\frac{-4+2}{3-1}$

$⇒-1=\frac{-2}{2}=-1$

∴ The points are collinear and hence 0 sq.units.