question_answer

Area bounded by lines \[y=2+x,\] \[y=2-x\] and \[x=2\] is                                                                       [MP PET 1996]

A)            3    

B)            4

C)            8    

D)            16

Correct Answer: B

Solution :

                   Obviously, triangle ACB is right angled at C.            \ Required area \[=\frac{1}{2}\times AC\times BC\]                                                               \[=\frac{1}{2}\times 2\sqrt{2}\times 2\sqrt{2}=4\]sq. unit.