Question

The area of the ∆OPQ with O(0, 0), P(1, 0) and Q(0, 1) is
(a) 1 sq unit
(b) $\frac{1}{2}\mathrm{sq}\mathrm{unit}$
(c) $\frac{1}{4}\mathrm{sq}\mathrm{unit}$
(d) 2 sq units

Answer 1

(b) ½​ sq unit
Explanation:
On plotting the points on a graph paper, we get ∆OPQ as a right angle triangle, where OP = base = 1 units and OQ = 1 units
∴ Area of (∆OPQ) = ½ × OP × OQ = ½ × 1 × 1 = ½ sq unit