COMEDK · Maths · 10. Straight Lines
The slopes of the lines, which make an angle \(45^{\circ}\) with the line \(3 x-y=-5\), are
- A \(1,-1\)
- B \(\dfrac{1}{2},-1\)
- C \(1, \dfrac{1}{2}\)
- D \(-2, \dfrac{1}{2}\)
Answer & Solution
Correct Answer
(D) \(-2, \dfrac{1}{2}\)
Step-by-step Solution
Detailed explanation
The given line is \(3x - y = -5\), which can be written in the slope-intercept form \(y = 3x + 5\). The slope of this line is \(m_1 = 3\). Let the slope of the required lines be \(m\). The angle between the lines is given as \(45^{\circ}\). Using the formula for the angle…
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