TS EAMCET · Maths · Straight Lines
\(7 x+y-24=0\) and \(x+7 y-24=0\) represent the equal sides of an isosceles triangle. If the third side passes through \((-1,1)\) then a possible equation for the third side is
- A \(3 x-y=-4\)
- B \(x+y=0\)
- C \(x-2 y=-3\)
- D \(3 x+y=-2\)
Answer & Solution
Correct Answer
(B) \(x+y=0\)
Step-by-step Solution
Detailed explanation
\(\mathrm{AB}=\mathrm{AC} ;\) Slope of \(\mathrm{AB}\left(m_1\right)=-7\) Slope of AC \(\left(m_2\right) \equiv -\frac{1}{7}\) Let slope of \(B C=m \quad \therefore \angle A B C=\angle A C B\) So,…
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