question_answer

The slopes of the lines which make an angle \[45{}^\circ \]with the line\[3x-y=-5\]are

A)  \[1,-1\]     

B)         \[\frac{1}{2},-1\]

C)  \[1,\frac{1}{2}\]                              

D)         \[2,-\frac{1}{2}\]

E)  \[-2,\frac{1}{2}\]

Correct Answer: E

Solution :

The slope of line is The slope of required line is Alternate Given line Let slope of another line Now, angle between both the lines or                               Then,