The area of the quadrilateral formed by y =1 -x, y =2 -x and the coordinate axes is

a. 1

b. 2

c. 3/2

d. n.o.t.

Question

The area of the quadrilateral formed by y =1 -x, y =2 -x and the
coordinate axes is
a 1
b 2
c 3/2
d n o t

Priyanka Kedia · Accepted Answer

$T h e g r a p h o f t h e g i v e n l i n e, y = 1 - x, y = 2 - x, a n d t h e c o o r d i n a t e a x e s (x = 0, y = 0) i s a s,$

$F r o m t h e g r a p h, a r (q u a d r i l a t e r a l A B C D) = a r (Δ O C D) - a r (Δ O A B) = \frac{1}{2} \times O C \times O D - \frac{1}{2} \times O A \times O B = \frac{1}{2} \times 2 \times 2 - \frac{1}{2} \times 1 \times 1 = 2 - \frac{1}{2} = \frac{3}{2} s q u n i t s H e n c e, o p t i o n (C) i s c o r r e c t$

The area of the quadrilateral formed by y =1 -x, y =2 -x and the coordinate axes is a. 1 b. 2 c. 3/2 d. n.o.t.

The area of the quadrilateral formed by y =1 -x, y =2 -x and the coordinate axes is

a. 1

b. 2

c. 3/2

d. n.o.t.