Question

The slope of a line is double of the slope of another line. If the angle between them is p/4 , then slopes of the lines are-

• A. $\frac { 1 } { 2 }$ , $\frac { 1 } { 4 }$
• B. 1, 2
• C. $\frac { 2 } { 3 }$
• D. None of these

Answer 1

Answer: (D)

None of these

Answer 2

Let, m₂ = 2m₁; Now, tan $\frac { \pi } { 4 }$= $\left| \frac { \mathrm { m } _ { 2 } - \mathrm { m } _ { 1 } } { 1 + \mathrm { m } _ { 1 } \cdot \mathrm {~m} _ { 2 } } \right|$

Ž 2m₁² – m₁ + 1 = 0 or 2m₁² + m₁ + 1 = 0

No real m₁ will satisfy the equation.