Home
Class 12
MATHS
If radii of the smallest and the largest...

If radii of the smallest and the largest circle passing through `( sqrt( 3) ,sqrt(2))` and touching the circle `x^(2) +y^(2) - 2 sqrt( 2)y -2=0` are `r_(1)` and `r_(2)` respectively, then find the mean of `r_(1)` and `r_(2)`.

Text Solution

Verified by Experts

The correct Answer is:
1
Promotional Banner

Similar Questions

Explore conceptually related problems

A circle passes through (0,0) and (1,0) and touches the circle x^(2)+y^(2)=9 then the centre of circle is -

The radius of a circle passing through origin and touching the parabola y^(2)=8x at (2,4) is r ,then r^(2) is equal to

If r_(1) and r_(2) be the maximum and minimum radius of the circle which pass through the point (4, 3) and touch the circle x^(2)+y^(2)=49 , then (r_(1))/(r_(2)) is …….

a circle passing through the point (2,2(sqrt(2)-1)) touches the pair of lines x^(2)-y^(2)-4x+4=0. The centre of the circle is

If the radisu of the circle passing through the origin and touching the line x+y=2 at (1, 1) is r units, then the value of 3sqrt2r is

If r_(1) and r_(2) are the radii of the smallest and the largest circles,respectively,which pass though (5,6) and touch the circle (x-2)^(2)+y^(2)=4, then r_(1)r_(2) is (4)/(41) (b) (41)/(4)(5)/(41) (d) (41)/(6)

The circle (x-r) ^(2) + (y-r) ^(2) =r ^(2) touches

The centre of the circle passing through (0.0) and (1,0) and touching the circle x^(2)+y^(2)=a^(2)is:(A)(1/2,1/2)(B)((1)/(2),-sqrt(2))(C)(3/2,1/2)(D)(1/2,3/2)'

A straight line x=y+2 touches the circle 4(x^(2)+y^(2))=r^(2), The value of r is: