COMEDK · Maths · 10. Straight Lines
The slope of lines which makes an angle \(45^{\circ}\) with the line \(2 x-y=-7\)
- A \(\dfrac{1}{3},-3\)
- B \(-1,1\)
- C \(3, \dfrac{-1}{3}\)
- D \(1, \dfrac{1}{3}\)
Answer & Solution
Correct Answer
(A) \(\dfrac{1}{3},-3\)
Step-by-step Solution
Detailed explanation
The given line is \(2x - y = -7\), which can be written as \(y = 2x + 7\). The slope of this line is \(m_1 = 2\). Let the slope of the required line be \(m\). The angle \(\theta\) between the two lines is \(45^{\circ}\). Using the formula for the angle between two lines,…
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