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

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

`therefore`Required area of bounded region`=4xx5=20`sq. units.