Home
Class 12
MATHS
If a1, a2,a3, ,an is an A.P. with commo...

If `a_1, a_2,a_3, ,a_n` is an A.P. with common difference `d ,` then `"tan"[tan^(-1)(d/(1+a_1a_2))+tan^(-1)(d/(1+a_2a_3))+...+tan^(-1)(d/(1+a_(n-1)a_n))]=`

A

(a) `(((n-1)d)/(a_(1)+a_(n)))`

B

(b) `(((n-1)d)/(1+a_(1)a_(n)))`

C

(c) `((nd)/(1+a_(1)a_(n)))`

D

(d) `((a_(n)-a_(1))/(a_(n)+a_(1)))`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

tan^(-1)1+tan^(-1)2+tan^(-1)3=

Prove that - tan^(-1).(1)/(2)+tan^(-1).(2)/(11)=

cos(tan^(-1)((1)/(3))+tan^(-1)((1)/(2)))=

d/(dx) [tan^(-1)(sqrt(x))] =

Solve tan^-1(1/(1+2x))+tan^-1(1/(1+4x))=tan^-1(2/x^2)

cos[2(tan^(-1)((1)/(5))+tan^(-1)5)] = ________.