JEE Main202126 Feb 2021Morning ShiftMathematicsStraight LinesActual

The intersection of three lines x - y = 0 , x + 2 y = 3 and 2 x + y = 6 is a/an

Options

AIsosceles triangle
BEquilateral triangle
CRight angled triangle
DNone of the above

Correct answer

A. Isosceles triangle

Step-by-step solution

. L 1 : x - y = 0 L 2 : x + 2 y = 3 L 3 : 2 x + y = 6 On solving L 1 and L 2 : y = 1 and x = 1 On solving L 1 and L 3 , we get x = 2 y = 2 L 2 and L 3 : x + 2 y = 3 2 x + y = 6 On solving L 2   &   L 3 , we get x = 3 y = 0 A C = 4 + 1 = 5 B C = 4 + 1 = 5 A B = 1 + 1 = 2 so it is an isosceles triangle

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