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A variable line drawn throgh the point of intersection of the lines `x/a+y/b=1,x/b+y/a=1` meets the coordinate axes in A and B. Then the locus of midpoint of AB is

A

`2xy(a+b)=ab(x+y)`

B

`xy(a+b)=ab(x+y)`

C

`2xy(a+b)=ab(x-y)`

D

`xy(a+b)=ab(a-y)`

Text Solution

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The correct Answer is:
A
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AAKASH SERIES-STRAIGHT LINES-LECTURE SHEET(EXERCISE-III Problems on Point of intersection of line and concurrency of lines)(Straight Objective Type Questions Type Question)
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