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1)Least possible ratio a:b for which two chords each bisected by x-axis can be drawn to circle 2x(x-a)+y(2y-b)=0 from point (a,b/2) then a+b=?

1)Least possible ratio a:b for which two chords each bisected by x-axis can be drawn to circle 2x(x-a)+y(2y-b)=0 from point (a,b/2) then a+b=?

Grade:11

1 Answers

SAGAR SINGH - IIT DELHI
878 Points
13 years ago

Dear student,

The equation of circle is

2x2+2y2-2ax-yb=0

x2+y2-ax-yb/2=0

centre at (a/2,b/4)

Find the radius and now using the conditions  given in question find the value of a+b.

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