AP EAMCET · Maths · Pair of Lines
If \(2 x^2-3 x y+y^2=0\) represents two sides of a triangle and \(x+y-1=0\) is its third side, then the distance between the orthocenter and the circumcentre of that triangle is
- A \(\frac{\sqrt{5}}{6}\)
- B \(\frac{5}{\sqrt{3}}\)
- C \(\frac{6}{\sqrt{5}}\)
- D \(\frac{\sqrt{3}}{5}\)
Answer & Solution
Correct Answer
(A) \(\frac{\sqrt{5}}{6}\)
Step-by-step Solution
Detailed explanation
Given pair of equations \(\begin{aligned} & 2 x^2-3 x y+y^2=0 \\ \Rightarrow & (x-y)(2 x-y)=0 \\ \Rightarrow & x-y=0 \text { and } 2 x-y=0 \end{aligned}\)…
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