AP EAMCET · Maths · Pair of Lines
If the lines \(x^2+k x y+y^2=0\) and \(x+y=1\) make up the sides of an equilateral triangle, then the value of \(k^2\) equals
- A 4
- B 16
- C 9
- D 64
Answer & Solution
Correct Answer
(B) 16
Step-by-step Solution
Detailed explanation
\(\because\) Lines \(x^2+k x y+y^2\) and \(x+y-1=0\) make the sides of equilateral triangle.(given) \(\because x^2+k x y+y^2=0\) represent a pair of straight lines passing through origin. Let \(m\) be the slope of one line whose equation is \(y=m x\) According to the question,…
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