AP EAMCET · Maths · Straight Lines
Let \(\mathrm{PQR}\) be a right angled isosceles triangle, right angled at \(P(2,1)\). If the equation of the side \(Q R\) is \(2 x+y=3\), then the equation of one of the sides other than \(Q R\) is
- A \(x+2 y-4=0\)
- B \(3 x-y-5=0\)
- C \(x-2 y=0\)
- D \(2 x+y-5=0\)
Answer & Solution
Correct Answer
(B) \(3 x-y-5=0\)
Step-by-step Solution
Detailed explanation
Since \(\triangle P Q R\) is isosceles right angled triangle. Hence \(\angle P Q R=\angle P R Q=45^{\circ}\) Let \(m_1\) and \(m_2\) be the slope of line \(P Q\) and line \(P R\) respectively. Given line \(Q R\) is \(2 x+y=3\) \(\Rightarrow y=-2 x+3\). Hence slope of…
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