JEE Mains · Maths · STD 11 - 9. straight line
The intersection of three lines \(x-y=0, x+2 y=3\) and \(2 x+y=6\) is a
- A Right angled triangle
- B Equilateral triangle
- C Isosceles triangle
- D None of the above
Answer & Solution
Correct Answer
(C) Isosceles triangle
Step-by-step Solution
Detailed explanation
\(L_{1}: x-y=0\) \(L_{2}: x+2 y=3\) \(L _{3}: x + y =6\) on solving \(L _{1}\) and \(L _{2}\) : \(y = L\) and \(x =1\) \(L _{1}\) and \(L _{3}\) : \(x=2\) \(y=2\) \(L _{2}\) and \(L _{3}\) : \(x+y=3\) \(2 x+y=6\) \(x =3\) \(y =0\) \(AC =\sqrt{4+1}=\sqrt{5}\)…
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