Published by:
CGP EDU Academic Team
Published on: August 13, 2026
If a variable line drawn through the point of intersection of straight lines 
and 
meets the coordinate axes in A and B , then the locus of the mid point of 
is
A
B
C
D
None of these
Text Solution
Verified by ExpertsThe correct answer is:
B
The equation of a line passing through the intersection of straight lines 
and 
is
or 
This meets the axes at
and 
.
Let ( h , k ) be the mid point of AB ,
then 
Eliminating 
from these two, we get
.
∴ ∴ The locus of 
is 
.
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