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find the radius of director circle of au...

find the radius of director circle of auxilliary circle of ellipse `(3x+4y-1)^(2)+5(4x-3y+2)^(2)=250` is __________

Text Solution

Verified by Experts

We have ellipse ,
`(((3x+4y-1)/(5))^(2))/(10)+(((4x-3y+2)/(5))^(2))/(2)=1`
Here, `a^(2)=10 and b^(2)=2`
So, radius of the auxiliary circle is `sqrt(10)`
Hence, radius of director circel of auxiliary circle `sqrt(2)xx sqrt(10)=sqrt(120)`
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