AP EAMCET · Maths · Pair of Lines
The equations \(x-y=4\) and \(x^2+4 x y+y^2=0\) represent the sides of a/an
- A Isosceles Triangle
- B Right Angled Triangle
- C Equilateral Triangle
- D Scalene Triangle
Answer & Solution
Correct Answer
(C) Equilateral Triangle
Step-by-step Solution
Detailed explanation
The equation \(x^2+4xy+y^2=0\) represents a pair of lines passing through the origin. Divide by \(y^2\): \((\frac{x}{y})^2+4(\frac{x}{y})+1=0\). Let \(m'=\frac{x}{y}\). Then \(m'^2+4m'+1=0\).…
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