srcc25anu wrote:A line with the equation y = px + q is reflected over the line y = x. Is the reflection of this line parallel to the line y = mx + n?
(1) m = p + 2
(2) m = 3p
OA C
Slope of line y = px + q is p and slope of line y = mx + n is m.
(1) m = p + 2 implies there is just one equation and 2 variables. Until we know the values of m and p, we cannot say whether reflection of y = px + q is parallel to the line y = mx + n. So, (1) is NOT SUFFICIENT.
(2) m = 3p again implies there is just one equation and 2 variables. Until we know the values of m and p, we cannot say whether reflection of y = px + q is parallel to the line y = mx + n. So, (2) is NOT SUFFICIENT.
Combining (1) and (2), 3p = p + 2 implies p = 1 and m = 3. So, now we can find the angle that each of the two lines make with x -axis. Hence, combining the statements is SUFFICIENT to answer the question.
The correct is
C.
