The area of the triangle formed by the line \frac{x}{a} + \frac{y}{b} = 1 with the coordinate axes is: (a) ab (b) \... | MCQ 1m | Maths | SuperPadhai

Coordinate Geometry > Question

MCQ1 markYear: 2023EasyCBSE Class 10

coordinate-geometryarea-of-triangleintercept-form

Question

The area of the triangle formed by the line

\frac{x}{a} + \frac{y}{b} = 1

with the coordinate axes is:
(a)

ab

(b)

\frac{1}{2} ab

(c)

\frac{1}{4} ab

(d)

2 ab

Solution

1

Intercepts are

(a, 0)

and

(0, b)

. Area

= \frac{1}{2} \times a \times b = \frac{1}{2} ab

+1 mark

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