AP EAMCET · Maths · Straight Lines
The equation of the lines through the point \((3,2)\) which makes an angle of \(45^{\circ}\) with the line \(x-2 y=3\) are
- A \(3 x-y=7\) and \(x+3 y=9\)
- B \(x-3 y=7\) and \(3 x+y=9\)
- C \(x-y=3\) and \(x+y=2\)
- D \(2 x+y=7\) and \(x-2 y=9\)
Answer & Solution
Correct Answer
(A) \(3 x-y=7\) and \(x+3 y=9\)
Step-by-step Solution
Detailed explanation
Let \(m_1\) be the slope of the line, which passes through the point \((3,2)\) and \(m_2\) be the slope of \(x-2 y=3\) \(\therefore \quad m_2=\frac{- \text { Coefficient of } x}{\text { Coefficient of } y}\) \(m_2=\frac{-1}{-2}\) \(\Rightarrow \quad m_2=\frac{1}{2}\) Given that,…
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