The area of the region enclosed between pair of the lines xy = 0 and the lines xy + 5x - 4y - 20 = 0, is ..... .

Options

A. 20 square units
B. `(4)/(5)` square units
C. 10 square units
D. 6 square units

Answer

A

Explanation

Given pair of lines
xy + 5x - 4y - 20 = 0
`implies` x(y + 5) - 5 (y + 5) = 0
`implies` (y + 5) (x - 4) = 0
`implies` x = 4, y = - 5
also xy = 0
`implies` x = 0, y = 0
Now,draw the graph of the pair of line

`:.` Required area of bounded region
`= 4 xx 5 = 20` sq. units