Question

The lines x + 2y - 5 = 0, 2x - 3y + 4 = 0, 6x + 4y - 13 = 0

• A. are concurrent.
• B. form a right angled triangle.
• C. form an isosceles triangle
• D. form an equilateral triangle

Answer 1

Answer: (B)

form a right angled triangle.

Answer 2

Lines II and III are at right angles $[ \because \, (\frac{2}{3})(- \frac{3}{2}) = - 1$ Lines I and II intersect at the point (1, 2) and (1, 2) does not belong to III. Hence, the lines are not concurrent, i.e., they form a right angled triangle.