Question

the area of the figure formed by|x|+|y|=2 is _(in sq.units)

Answer 1

|x| + |y| = 2 ,
we know, there are four straight line in above equation .
e.g.,
x + y = 2 [ Line AB shows this equation ]
-x + y = 2 [ Line BC shows this equation ]
x - y = 2 [Line AD shows this equation ]
x + y = -2 [ Line BD shows this equation ]

we see that ,
the above equations form a rohmbus , whose side both diagonals are 4 unit

hence, area inclosed by{ |x| + |y| = 2} is area of rohmbus = 1/2 × product of diagonals
= 1/2 × 4 × 4 = 8 unit²

Answer 2

Answer:

Step-by-step explanation:

|x| + |y| = 2 ,

we know, there are four straight line in above equation .

e.g.,

x + y = 2 [ Line AB shows this equation ]

-x + y = 2 [ Line BC shows this equation ]

x - y = 2 [Line AD shows this equation ]

x + y = -2 [ Line BD shows this equation ]

we see that ,

the above equations form a rohmbus , whose side both diagonals are 4 unit

hence, area inclosed by{ |x| + |y| = 2} is area of rohmbus = 1/2 × product of diagonals

= 1/2 × 4 × 4 = 8 unit²