Question

If the lines p₁x+q₁y=1, p₂x+q₂y=1 and p₃x+q₃y=1 are concurrent, then the points (p₁,q₁), (p₂,q₂) and (p₃,q₃)

• A. are collinear
• B. form an equilateral triangle
• C. form a scalene triangle
• D. form a right angled triangle

Hint:

Concurrency of lines ax+by=1 implies collinearity of points (a,b).

Answer 1

The Correct Option is A

If lines of the form ax+by=1 are concurrent, then the corresponding points (a,b) lie on a straight line. Hence the given points are collinear.