Home
Class 12
MATHS
Let ak =k(^(10)C k ) , bk =(10 = k ),^(...

Let ` a_k =k(^(10)C _k ) , b_k =(10 = k ),^(10 ) C _k and A_k =[{:( a_k ,0),( 0, b_k) :}] , "If" A = underset(k=1) overset (theta ) sum A_k = [{:( a,0),( 0,b) :}] ` then find the value of ` (ab)/( 2^(theta )-1) .`

Text Solution

Verified by Experts

The correct Answer is:
`51100`
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    FIITJEE|Exercise ASSIGNMENT PROBLEM (OBJECTIVE) (Level-I)|49 Videos

  • MATRICES

    FIITJEE|Exercise ASSIGNMENT PROBLEM (OBJECTIVE) (Level-II)|17 Videos

  • MATRICES

    FIITJEE|Exercise ASSIGNMENT PROBLEM (SUBJECTIVE) (Level-I)|12 Videos

  • MATHEMATICS TIPS

    FIITJEE|Exercise NUMERICAL DECIMAL BASED QUESTIONS|21 Videos

  • PARABOLA

    FIITJEE|Exercise NUMERICAL BASED|5 Videos

Similar Questions

Explore conceptually related problems

Find the value off sum_(k1)^10(2+3^k)

If underset(k=0)overset(n)(sum)(k^(2)+k+1)k! =(2007).2007! , then value of n is

A=[{:(1,0,k),(2, 1,3),(k,0,1):}] is invertible for

Find the value of the sum_(k=0)^(359)k.cos k^(@)

If 1.125xx10^(k)=0.001125, then the value of k is: -4(b)-3(c)-2(d)-1

Let, C_(k) = ""^(n)C_(k) " for" 0 le kle n and A_(k) = [[C_(k-1)^(2),0],[0,C_(k)^(2)]] for k ge l and A_(1) + A_(2) + A_(3) +...+ A_(n) = [[k_(1),0],[0, k_(2)]] , then

Let C_k = .^nC_k, for 0 lt= k lt=n and A_k = ((C_(k-1)^2,0), (0,C_k^2)) for k gt= 1 and A_1+A_2+...+A_n = ((k_1,0), (0,k_2)), then

if sum_(k+1)(k)/(k+1)*^(100)C_(k)=(a*2^(100)+b)/(c) where a,b,c in N then find the least value of a+b+c

If sum_(k=0)^(n)(k^(2)+k+1)(k!)=(2018)(2018!) then the value of n is equal to

ABCD is square. K and L are two points on AB such that AO = AK and BO = BL and angleLOK=theta . Find the value of tantheta .