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MathsMediumMCQ2021 ยท 26 Feb Shift 1

Q65.The intersection of three lines x โˆ’y = 0, x + 2y = 3 and 2x + y = 6 is a/an (1) Isosceles triangle (2) Equilateral triangle (3) Right angled triangle (4) None of the above

What This Question Tests

This problem tests the ability to find the intersection points of three lines by solving simultaneous equations and then classifying the triangle formed by these points based on side lengths or slopes.

Concepts Tested

Solving system of linear equationsPoint of intersection of linesTypes of triangles (isosceles, equilateral, right-angled)Distance formula

Formulas Used

Distance formula = sqrt((x2-x1)^2 + (y2-y1)^2)

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