The area enclosed by the pair of the lines $x y=0$, the line $x-4=0$ and $y+5=0$ is

• Correct answer
  A

  20 sq units
• B

  10 sq units
• C

  $\frac{5}{4}$ sq units
• D

  0 sq unit

Solution

Given, pair of lines $$ \begin{array}{lr} & x y=0, x-4=0 \\ \Rightarrow & x=4 \\ \text { and } & y+5=0 . \\ \text { The figure is a rectangle. } \end{array} $$

In which length is 5 units and breadth is 4 units. So, area $=4 \times 5=20$ sq units.

Hence, the correct answer is option: 'A'.