Questions
Locus of the mid-points of the intercepts between the coordinate axes by the lines passing through does not intersect
a
x-axis
b
y-axis
c
y = x
d
y = a
detailed solution
Correct option is B
Equation of any line through (a, 0) be xa+yb=1 where b is a parameter. This line meets y-axis t (0, b) and if (h, k) denotes the mid-point of the intercept of the line between the coordinate axes, then h=a / 2, k= b / 2 and then the locus of (h,k) is x=a/2. This clearly does not intersect y-axis.Talk to our academic expert!
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