Home
Class 12
MATHS
Let nge3 and let C1, C2, ...., Cn, be ci...

Let `nge3` and let `C_1, C_2, ...., C_n`, be circles with radii `r_1, r_2,... r_n`, respectively. Assume that `C_i` and `C_(i+1)` touch externally for `1leilen-1`. It is also given that the x-axis and the line `y = 2sqrt(2)x+10` are tangential to each of the circle . Then `r_1,r_2.r_n` are in (A) an arithmetic progression with common difference `3+sqrt(2)` (B) a geometric progression with common ratio `3+sqrt(2)` (C) an arithmetic progression with common difference `2+sqrt(3)` (D) a geometric progression with common ratio `2+sqrt(3)`

Promotional Banner

Similar Questions

Explore conceptually related problems

Let nge3 and let C_(1),C_(2),....,C_(n) be circles witht radii, r_(1),.r_(2),....,r_(n), respectively. Assume that C_(1) and C_(i+1) touch external for 2leilen-1 . It is also given that the x-axis and the line y=2sqrt(2)x+10 are tangential to each of the ci rcles. Then r_(1),r_(2),....,r_(n), are in-

If a,b,c are in geometric progression and a,2b,3c are in arithmetic progression, then what is the common ratio r such that 0ltrlt1 ?

If a,b,c are in geometric progression and a,2b,3c are in arithmetic progression, then what is the common ratio r such that 0ltrlt1 ?

Let a_(1),a_(2),a_(3)..... be an arithmetic progression and b_(1),b_(2),b_(3)...... be a geometric progression.The sequence c_(1),c_(2),c_(3),... is such that c_(n)=a_(n)+b_(n)AA n in N. suppose c_(1)=1.c_(2)=4.c_(3)=15 and c_(4)=2. The common ratio of geometric progression is equal to

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

Let a_1,a_2,a_3..... be an arithmetic progression and b_1,b_2,b_3...... be a geometric progression. The sequence c_1,c_2,c_3,.... is such that c_n=a_n+b_n AA n in N. Suppose c_1=1.c_2=4.c_3=15 and c_4=2. The common ratio of geometric progression is equal to "(a) -2 (b) -3 (c) 2 (d) 3 "

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.

Three circles with centres C_(1),C_(2) and C_(3) and radii r_(1),r_(2) and r_(3) where *r_(-)1