Home
Class 12
MATHS
If the circle C(1) touches x-axis and t...

If the circle `C_(1)` touches x-axis and the line `y=xtantheta(tanthetagt0)` in first quadrant and circle`C_(2)` touches the `y=xtantheta` at the same point at which `C_(1)` touches it such that ratio of radius of `C_(1)` and `C_(2)` is 2:1, then `tan(theta)/(2)=sqrt(a-B)/(c)` where a,b,c,epsilon N and `HCF(b,c)=1`

Promotional Banner

Similar Questions

Explore conceptually related problems

If the parabola y=(a-b)x^2+(b-c)x+(c-a) touches x- axis then the line ax+by+c=0

If circle x (x -1) + y (y -1) = c(x + y -1) touches X-axis , then c =

A circle C touches the x-axis and the circle x ^(2) + (y-1) ^(2) =1 externally, then locus of the centre of the circle C is given by

circle C_(1) of unit radius lies in the first quadrant and touches both the co-ordinate axes.The radius of the circle which touches both the co-ordinate axes and cuts C_(1) so that common chord is longest (A) 1(B) 2 (C) 3 (D) 4

Let C and C_(1) be two circles in the first quadrant touching both the axes.If they each other,then the ratio of their radii

A circle C_(1), of radius 2 touches both x -axis and y -axis.Another circle C_(1) whose radius is greater than 2 touches circle and both the axes.Then the radius of circle is

If the parabola y=x^(2)+bx+c , touches the straight line x=y at the point (1,1) then the value of b+c is

If a variable circle 'C' touches the x-axis and touches the circle x^2+(y-1)^2=1 externally, then the locus of centre of 'C' can be:

A circle C_1 , of radius 2 touches both x -axis and y - axis. Another circle C_2 whose radius is greater than 2 touches circle and both the axes. Then the radius of circle is

If circle C passing through the point (2, 2) touches the circle x^2 + y^2 + 4x - 6y = 0 externally at the point (1, 1), then the radius of C is: