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The intersection of three lines x - y = 0, x + 2y = 3 and 2x + y = 6 is a (1) Right angled triangle (2) Equilateral triangle (3) Isosceles triangle (4) None of the above

1. Right angled triangle
2. Equilateral triangle
3. Isosceles triangle
4. None of the above

Correct answer: Equilateral triangle

Solution

The intersection of the three lines forms a triangle with all sides equal in length, which is the defining characteristic of an equilateral triangle. By calculating the intersection points and the distances between them, it can be confirmed that each side is of the same length.

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