Question

For the lines $2 x + 5 y = 7$and $2 x - 5 y = 9$which of the following statement is true.

• A. Lines are parallel
• B. Lines are coincident
• C. Lines are intersecting
• D. Lines are perpendicular

Answer 1

Answer: (C)

Lines are intersecting

Answer 2

Let $L _ { 1 } \equiv 2 x + 5 y - 7 = 0$ and $L _ { 2 } \equiv 2 x - 5 y - 9 = 0$, so that $m _ { 1 } = - \frac { 2 } { 5 } , m _ { 2 } = + \frac { 2 } { 5 }$.

Lines are neither parallel nor perpendicular, also not coincident. Hence the lines are intersecting.