If a variable line passes through the point of intersection of the lines x+2y-1=0 and 2x-y-1=0 and meets the coordinate axes in A and B, then what is the locus of the mid-point of AB?

NDA 2024 Mathematics question

If a variable line passes through the point of intersection of the lines and and meets the coordinate axes in and , then what is the locus of the mid-point of ?

(A)
(B)Correct
(C)
(D)

Answer: (B)

Solution

Solving the two lines: , . Let the variable line be , so , and the mid-point is $(h, k) =

See the full step-by-step solution

Create a free account to read the complete working, and practise questions like this in a timed test.

Create a free account

Question ID VK-029829