question_answer

Equations of lines which passes through the points of intersection of the lines \[4x-3y-1=0\] and \[2x-5y+3=0\] and are equally inclined to the axes are     [AMU 1981]

A)            \[y\pm x=0\]                            

B)            \[y-1=\pm \ 1(x-1)\]

C)            \[x-1=\pm \ 2(y-1)\]                

D)            None of these

Correct Answer: B

Solution :

           Slopes of the lines are 1 and ?1                      Since the point of intersection is (1, 1)                    Hence the required equations are \[y-1=\pm 1(x-1)\].