Question

The equation of the lines representing the sides of a triangle are 3x –4y = 0, x + y = 0 and 2x – 3y = 7.

The line 3x + 2y = 0 always passes through the-

• A. Incentre
• B. Circumcentre
• C. Centroid
• D. Orthocenter

Answer 1

Answer: (D)

Orthocenter

Answer 2

L₁ = 3x –4y = 0; L₂ = x + y = 0; L₃ = 2x –3y – 7 = 0

given line 3x + 2y = 0, is passing through intersection of

L₁ = 0 and perpendicular to L₃ = 0 so it becomes altitude.