TS EAMCET · Maths · Properties of Triangles
\(\mathrm{A}(1,-2), \mathrm{B}(-2,3), \mathrm{C}(-1,-3)\) are the vertices of a triangle \(A B C\). \(L_1\) is the perpendicular drawn from \(A\) to \(B C\) and \(L_2\) is the perpendicular bisector of AB . If \((l, m)\) is the point of intersection of \(\mathrm{L}_1\) and \(\mathrm{L}_2\), then \(26 m-3=\)
- A \(26 l\)
- B \(89 l\)
- C \(13 l\)
- D \(43 l\)
Answer & Solution
Correct Answer
(C) \(13 l\)
Step-by-step Solution
Detailed explanation
Slope of \(B C\) is -6 . Slope of altitude from \(A\) to \(B C\) is \(\frac{1}{6}\) \(L_1 \equiv y+2=\frac{1}{6}(x-1) \Rightarrow y=\frac{x}{6}-\frac{13}{6}\) ...(i) Mid point of \(A B\) is \(\left(\frac{-1}{2}, \frac{1}{2}\right)\) Slope of \(A B\) is \(\frac{-5}{3}\)…
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