Question

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

विकल्प

• 20 square units

• `4/5` square units

• 10 square units

• 6 square units

Answer 1

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

Explanation:

Given pair of lines

xy + 5x - 4y - 20 = 0

⇒ x(y + 5) - 4(y + 5) = 0

⇒ (y + 5)(x - 4) = 0

⇒ x = 4, y = - 5

and also, xy = 0

⇒ x = 0, y = 0

Now, draw the graph of the pairs of line

∴ Required area of bounded regio

= 4 × 5 = 20 sq. units