question_answer

The area between the curve\[y=1-|x|\]and the \[x-\]axis is equal to

A)   \[1\,sq\,unit\]                

B)  \[\frac{1}{2}sq\,unit\]

C)  \[\frac{1}{3}sq\,unit\]          

D)         \[2sq\,unit\]

E)  \[3sq\,unit\]

Correct Answer: A

Solution :

Given curve is \[\therefore \] Area of \[\Delta ABC\] =2 area of\[\Delta OAB\] \[=2\times \frac{1}{2}\times 1\times 1\] \[=1\text{ }sq\text{ }unit\]