question_answer

If the point\[(a,\,\,a)\]are placed in between the lines\[|x+y|\,\,=4\]then

A) \[|a|\,\,=2\]                     

B) \[|a|\,\,=3\]

C) \[|a|\,\,<2\]     

D)        \[|a|\,\,<3\]

Correct Answer: C

Solution :

Lines\[x+y=4\]and\[x+y=-4\]are parallel and points\[(2,\,\,2)\]and\[(-2,\,\,-2)\]lie on these lines If point\[(a,\,\,a)\]lies between the lines then\[a>-2\]and\[a<2\,\,i.e.,\],