question_answer

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

A)  \[20\,sq\,unit\]

B)  \[10\,sq\,unit\]

C)  \[\frac{5}{4}\,sq\,unit\]

D)  \[0\,sq\,unit\]

Correct Answer: A

Solution :

Given, pair of lines \[xy=0,\] \[x-4=0\] \[\Rightarrow \] \[x=4\] and \[y+5=0\]. The figure is a rectangle.                 In which length is 5 unit and breadth is 4 unit So, area \[=4\times 5=20\text{ }sq\text{ }unit\].