[" Q.1) Evaluate- "],[" i."3^(-2)]

Evaluate 1+i+i^2+i^3

If p = 3 , q = 2 and r = -1, find the values of (3p^(2)q+5r)/(2pq-3qr)

Find the value of (1+i)(1+i^(2))(1+i^(3)) .

Evaluate : sum_(i=1)^18 (2^i +3^(i-1)) .

Evaluate |(3+2i,-6i),(2i,3-2i)|,i=sqrt(-1)

If p = -2, q = - 1 and r = 3, find the value of (i) p^(2) + q^(2) - r^(2) (ii) 2p^(2) - q^(2) + 3r^(2) (iii) p - q - r (iv) p^(3) + q^(3) + r^(3) + 3 pqr (v) 3p^(2) q + 5pq^(2) + 2 pqr (vi) p^(4) + q^(4) - r^(4)

If A=[{:(,2,-1),(,-1, 3):}]" evaluate "A^2-3A+3I , where I is a unit matrix of order 2.

The slope of a line joining P(6, k) and Q(1 - 3k, 3) is 1/(2) . Find : (i) k

If p and q are the roots of the equation x^(2)-3x+2=0 , find the value of (1)/(q)-(1)/(q) .