If `sqrt(3^n)=729` , then the value of `n` is (a) 6 (b) 8 (c) 10 (d) 12

If sqrt(2^(n))=64, then the value of n is 2 b.4 c.6 d.12

If .^(n)P_(3)+.^(n)C_(n-2)=14n , the value of n is (a) 5 (b) 6 (c) 8 (d) 10

If (10^(12)+25)^(2)-backslash(10^(12)-25)^(2)=10^(n), then the value of n is 5 (b) 10(c)14 (d) 20

If cot^(-1)((n^2-10 n+21. 6)/pi)>pi/6, then the possible values of n is/are (a) 3 (b) 2 (c) 4 (d) 8

If cot^(-1)((n^2-10 n+21. 6)/pi)>pi/6, then the possible values of n is/are (a) 3 (b) 2 (c) 4 (d) 8

If in the expansion of (x^(3)-(2)/(sqrt(x)))^(n) a term like x^(2) exists and 'n' is a double digit number, then least value of 'n' is (a) 10 (b) 11 (c) 12 (d) 13

If in the expansion of (x^(3)-(2)/(sqrt(x)))^(n) a term like x^(2) exists and 'n' is a double digit number, then least value of 'n' is (a) 10 (b) 11 (c) 12 (d) 13

sqrt(1+(55)/(729))=1+(x)/(27), then the value of x is (a)1(b)3(c)5(d)7

Suppose A is a complex number and n in N , such that A^n=(A+1)^n=1, then the least value of n is a. 3 b. 6 c. 9 d. 12

Suppose A is a complex number and n in N , such that A^n=(A+1)^n=1, then the least value of n is 3 b. 6 c. 9 d. 12