If `A = ((p,q),(0,1))` the show that `A^(8) = ((p^(8),q((p^(8)-1)/(p-1))),(0,1))`

If z=x-iy and z^(1/3)=p+iq , then (1)/(p^(2)+q^(2))((x)/(p)+(y)/(q)) is equal to

If a !=p, b !=q, c!=r and |(p,b,c),(a,q,c),(a,b,r)| = 0 then the value of (p)/(p-a)+(q)/(q-b)+(r)/(r-c) is equal to a)-1 b)1 c)-2 d)2

|(1,1,1),(p,q,r),(p,q,r+1)| is equal to

If P(A')=0.8 , write the value of P(A) .

If X = [(0,1),(0,0)] and (pI + qX)^(m) = AI + BX, AA p,q, in R, where A and B are scalars and I is two rowed unit matrix, then A and B are a) p^(m-1), mp^(m)q b) p^(m), mp^(m-1) q c) p^(m), mp^(m-2) q^(-1) d)None of these

If the p^th , q^th and r^th terms of a GP are a,b,c respectively, show that a^(q-r)b^(r-p)c^(p-q)=1