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If radius of the director circle of the ...

If radius of the director circle of the ellipse `((3x+4y-2)^(2))/(100)+((4x-3y+5)^(2))/(625) =1` is

A

6

B

`sqrt(34)`

C

`sqrt(29)`

D

`sqrt(26)`

Text Solution

Verified by Experts

The correct Answer is:
C
`((3x+4y-2)^(2))/(100) +((4x-3y+5)^(2))/(625) =1`
`rArr(((3x+4y-2)/(5))^(2))/(4)+(((4x-3y+5)/(5))^(2))/(25)=1`
`rArr a^(2) =4` and `b^(2) = 25`
Radius of director circle `= sqrt(a^(2)+b^(2)) = sqrt(29)`
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