Home
Class 12
MATHS
The greatest value of n for which the de...

The greatest value of n for which the determinant
`Delta = |(1,1,1),(.^(n)C_(1),.^(n+3)C_(1),.^(n+6)C_(1)),(.^(n)C_(2),.^(n+3)C_(2),.^(n+6)C_(2))|` is divisible by `3^(n)`, is

Text Solution

Verified by Experts

The correct Answer is:
3
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    VIKAS GUPTA (BLACK BOOK)|Exercise EXERCISE-3:COMPREHENSION TYPE PROBLEMS|3 Videos

  • CONTINUITY, DIFFERENTIABILITY AND DIFFERENTIATION

    VIKAS GUPTA (BLACK BOOK)|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|23 Videos

  • DIFFERENTIAL EQUATIONS

    VIKAS GUPTA (BLACK BOOK)|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|6 Videos

Similar Questions

Explore conceptually related problems

The value of |111^(n)C_(1)^(n+2)C_(1)^(n+4)C_(1)^(n)C_(2)^(n+2)C_(2)^(n+4)C_(2)| is

If 3^n is a factor of the determinant |{:(1,1,1),(.^nC_1,.^(n+3)C_1,.^(n+6)C_1),(.^nC_2, .^(n+3)C_2, .^(n+6)C_2):}| then the maximum value of n is ……..

1+^(n)C_(1)+^(n+1)C_(2)+^(n+2)C_(3)+......+^(n+r-1)C_(r)

1+^(n)C_(1)+^(n+1)C_(2)+^(n+2)C_(3)+......+^(n+r-1)C_(r)

Find .^(n)C_(1)-(1)/(2).^(n)C_(2)+(1)/(3).^(n)C_(3)- . . . +(-1)^(n-1)(1)/(n).^(n)C_(n)

The value of (n+2).^(n)C_(0).2^(n+1)-(n+1).^(n)C_(1).2^(n)+(n).^(n)C_(2).2^(n-1)-….." to " (n+1) terms is equal to

(n+2)C_(0)(2^(n+1))-(n+1)C_(1)(2^(n))+(n)C_(2)(2^(n-1))- is equal to