Assertion: `r=15` Reason : `^nC_x=^InC_yrarrx+y=n` (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not te correct explanation of A (C) A is true but R is false. (D) A is false but R is true.

Assertion : A^-1 exists, Reason: |A|=0 (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not te correct explanation of A (C) A is true but R is false. (D) A is false but R is true.

Assertion: Tr(A)=0 Reason: |A|=1 (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not te correct explanation of A (C) A is true but R is false. (D) both A and R is false.

Assertion: If n is an even positive integer n then sum_(r=1)^(n-1)1/(|__r|__n-r)=2^(n-1)/(|__n) . Reason: ^nC_1+^nC_3+……..+^nC_(n-1)=2^(n-1) (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not the correct explanation of A (C) A is true but R is false. (D) A is false but R is true.

Assertion: f(n) is divisible by 961, Reason : 2^(5n)=(1+31)^n (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not te correct explanation of A (C) A is true but R is false. (D) A is false but R is true.

Assertion: [(1+ 1/10000)^10000]=2 where [.] is the greatest integer function. Reason: 2lt(1+1/n)^n lt2.5 for all n epsilonN (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not te correct explanation of A (C) A is true but R is false. (D) A is false but R is true.

Assertion: I_1,I_2,I_3 ,……… are in A.P. Reason: I_(n+2)+I_n-2I_(n+1)=0 (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not te correct explanation of A (C) A is true but R is false. (D) A is false but R is true.

Assertion (A): z/(4-z^2) lies on y-axis. Reason (R): |z|^2= zbarz (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not te correct explanation of A (C) A is true but R is false. (D) A is false but R is true.

Assertion: adj(adjA)=(det A)^(n-2)A Reason: |adjA|=|A|^(n-1) (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not te correct explanation of A (C) A is true but R is false. (D) A is false but R is true.

Assertion:Points A,B,C are collinear, Reason: vec(AB)xxvec(AC)=0 (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not te correct explanation of A (C) A is true but R is false. (D) A is false but R is true.

Assertion: If |A^2|=25 then A=+- 1/5 , Reason: |AB|=|A||B| (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not te correct explanation of A (C) A is true but R is false. (D) A is false but R is true.