Home
Class 12
MATHS
The value of cot[underset(n=1)overset(10...

The value of `cot[underset(n=1)overset(100)Sigmacot^(-1)(1+underset(k=1)overset(n)Sigma2k)]` is

A

(a) `(51)/(50)`

B

(b) `(50)/(51)`

C

(c) `(100)/(101)`

D

(d) `(101)/(100)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

underset(0)overset(1)int e^(2logx)dx=

underset(1)overset(sqrt(3))int (1)/(1+x^(2))dx=

underset(0)overset(pi//2)int (d theta)/(1+tantheta)=

The value of 2cot^(- 1)(1/2)-cot^(- 1)(4/3) is

The value of the integral overset(pi//4)underset(0)int sin^(-4)x dx , is

The vectors overset(^)i+2overset(^)j+3overset(^)k,lambdaoverset(^)i+4overset(^)j+7overset(^)k and -3overset(^)i-2overset(^)j-5overset(^)k are collinear, if lambda equals

A vector perpendicular to 2overset(^)i+overset(^)j+overset(^)k and coplanar with overset(^)i+2overset(^)j+overset(^)k and overset(^)i+overset(^)j+2overset(^)k is

If the vectors 3overset(^)i+2overset(^)j-overset(^)k and 6overset(^)i-4xoverset(^)j+yoverset(^)k are parallel, then the value of x and y will be

If the vectors 5overset(^)i-xoverset(^)j+3overset(^)k and -3overset(^)i+2overset(^)j-yoverset(^)k are parallel, the value of x and y respectively are

If the vectors 4overset(^)i+11overset(^)J+moverset(^)k,7overset(^)i+2overset(^)j+6overset(^)k and overset(^)i+5overset(^)j+4overset(^)k are coplanar, then m is equal to