If `P` is non-singular matrix, then value of `adj(P^(-1))` in terms of `P` is (A) `P/|P|` (B) `P|P|` (C) `P` (D) none of these

Let p be a non singular matrix, and I + P + p^2 + ... + p^n = 0, then find p^-1 .

If p >1 and q >1 are such that log(p+q)=logp+logq , then the value of log(p-1)+log(q-1) is equal to (a) 0 (b) 1 (c) 2 (d) none of these

If A and B are arbitrary events, then a) P(A nn B) ge P(A)+ P(B) (b) P(A uu B) le P(A)+ P(B) (c) P(AnnB)=P(A)+ P(B) (d)None of these

P is a non-singular matrix and A, B are two matrices such that B=P^(-1) AP . The true statements among the following are

If tanbeta=2sinalphasingammacos e c(alpha+gamma), then cotalpha,cotbeta,cotgamma are in (a)A.P. (b) G.P. (c) H.P. (d) none of these

If p(t)=t^(3)-1 , find the values of p(1),p(-1),p(0),p(2),p(-2) .

If cos2B=(cos(A+C))/("cos"(A-C)) , then tanA ,t a n B ,tanC are in (a)A.P. (b) G.P. (c) H.P. (d) none of these

If P stands for P_(r) then the sum of the series 1 + P_(1) + 2P_(2) + 3P_(3) + …+ nPn is

If p ,q ,a n dr are inA.P., show that the pth, qth, and rth terms of any G.P. are in G.P.

If P is an orthogonal matrix and Q=P A P^T an dx=P^T Q^1000 P then x^(-1) is , where A is involutary matrix. A b. I c. A^(1000) d. none of these