If a variable line drawn through the intersection of the lines … and … meets the coordinate axes at A and B, (A … B), then the locus of the midpoint of AB is :

Option C. L₁ : 4x + 3y … 12 = 0

Straight Lines and Pair of Straight Lines

JEE Main 2016 · 9 Apr, Morning shift · Q5565

MathematicsMedium128×since 2002Q5565

If a variable line drawn through the intersection of the lines

{x \over 3} + {y \over 4} = 1

and

{x \over 4} + {y \over 3} = 1,

meets the coordinate axes at A and B, (A

\ne

B), then the locus of the midpoint of AB is :

JEE Main 2016 · 9 Apr, Morning shift · Q5565

MathematicsMedium128×since 2002Q5565

If a variable line drawn through the intersection of the lines

{x \over 3} + {y \over 4} = 1

and

{x \over 4} + {y \over 3} = 1,

meets the coordinate axes at A and B, (A

\ne

B), then the locus of the midpoint of AB is :