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Ask experts Expert Question: A circle of radius 3..
Reply Forum Index -> Analytical Geometry originally posted here on IIT-JEE / AIEEE community   
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Yash: Save Tigers..!! (450)

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A circle of radius 3touches the y-axis and a circle of radius 2 units touches the first circle and x-axis( bothe the circles r in first quad.)
If the line joining the centres of the circles is equally inclined to the axis then find the equation of larger circle.

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Sagar Saxena (6812)

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hello dear

for circle 1

it touches y axis

C = f2

R   =  3 =  (g2+f2-c)1/2

 

for circle 2

it touches x axis and circle 1

R = 2 = (G2+F2-C)1/2

and it touches x axis C = G2

both tocuh each other externally hence::

distance between the center = sum of radii

 

make the equation of line passing thru the two centers hence::::m = 450

 

from above hint u can solve it

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