TS EAMCET · Maths · Straight Lines
The value of \(k(>0)\), such that the angle between the lines \(4 x-y+7=0\) and \(k x-5 y-9=0\) is \(45^{\circ}\), is
- A \(\frac{25}{3}\)
- B \(\frac{5}{3}\)
- C 3
- D 5
Answer & Solution
Correct Answer
(C) 3
Step-by-step Solution
Detailed explanation
Slopes of lines \(4 x-y+7=0\) and \(k x-5 y-9=0\) are 4 and \(\frac{k}{5}\), respectively. Let \(m_1=4\) and \(m_2=\frac{k}{5}\) Then, angle between two lines whose slopes are \(m_1\) and \(m_2\), is given by…
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