AP EAMCET · Maths · Straight Lines
Two vertices of a triangle are \((5,-1)\) and \((-2,3)\). If the origin is the orthocentre of this triangle, then the coordinates of the third vertex of that triangle are
- A (4, 7)
- B \(\left(-2, \frac{-7}{2}\right)\)
- C \((-4,-7)\)
- D \((-2,3)\)
Answer & Solution
Correct Answer
(C) \((-4,-7)\)
Step-by-step Solution
Detailed explanation
Slope of \(B C \times\) slope of \(A D=-1\) \(\Rightarrow \quad \frac{3+1}{-2-5} \times \frac{k}{h}=-1 \Rightarrow \frac{k}{h} \times \frac{4}{-7}=-1\) Slope of \(A B \times\) slope of \(C F=-1\)…
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