`C_1 and C_2`, are the two concentric circles withradii `r_1 and r_2, (r_1 lt r_2)`. If the tangents drawnfrom any point of `C_2`, to `C_1`, meet again `C_2`, at theends of its diameter, then

Two Cars C_1 and C_2 are going round in concentric circles of radii R_1 and R_2 . They complete the circular paths in the same time Then (Speed of C_1)/(Speed of C_2) =

Two Cars C_1 and C_2 are going round in concentric circles of radii R_1 and R_2 . They complete the circular paths in the same time Then (Speed of C_1)/(Speed of C_2) =

C_1 and C_2 are fixed circles of radii r_1 and r_2 touches each other externally. Circle 'C' touches both Circles C_1 and C_2 extemelly. If r_1/r_2=3/2 then the eccentricity of the locus of centre of circles C is

C_1 and C_2 are fixed circles of radii r_1 and r_2 touches each other externally. Circle 'C' touches both Circles C_1 and C_2 extemelly. If r_1/r_2=3/2 then the eccentricity of the locus of centre of circles C is

Consider a series of 'n' concentric circles C_1, C_2, C_3, ....., C_n with radii r_1, r_2, r_3, ......,r_n respectively, satisfying r_1 > r_2 > r_3.... > r_n and r_1= 10. The circles are such that the chord of contact of tangents from any point on C_1 to C_(i+1) is a tangent to C_(i+2) (i = 1, 2, 3,...). Find the value of lim_(n->oo) sum_(i=1)^n r_1, if the angle between the tangents from any point of C_1 to C_2 is pi/3.

Identify the correct statement (s) related to the R_1 R_2 , C_1 and C_2 of the two RC circuit

The circle S_1 with centre C_1 (a_1, b_1) and radius r_1 touches externally the circle S_2 with centre C_2 (a_2, b_2) and radius r_2 If the tangent at their common point passes through the origin, then

Transverse common tangents are drawn from O to the two circles C_1,C_2 with 4, 2 respectively. Then the ratio of the areas of triangles formed by the tangents drawn from O to the circles C_1 and C_2 and chord of contacts of O w.r.t the circles C_1 and C_2 respectively is

Transverse common tangents are drawn from O to the two circles C_1,C_2 with 4, 2 respectively. Then the ratio of the areas of triangles formed by the tangents drawn from O to the circles C_1 and C_2 and chord of contacts of O w.r.t the circles C_1 and C_2 respectively is