Given `x = 2 - 3i and y = 4 + i`.
Find `(i) xy " "(ii) x + y " " (iii) x - y " "(iv) x/y " " (v) (barx)/y " "(vi) (x-y)^(2)`

Express the following linear equation in the form of ax+by+c=0 and indicate the values of a, b and c in each case. (i) 8x + 5y - 3 = 0 (ii) 28x - 35y = - 7 (iii) 93x = 12 - 15y (iv) 2x = - 5y (v) x/3+y/4=7 (vi) y=(-3)/2x (vii) 3x+5y=12

Find three different solutions of the each of the following equations. (i) 3x + 4y = 7 (ii) y = 6x (iii) 2x - y = 7 (iv) 13x - 12y = 25 (v) 10x + 11y = 21 (vi) x + y = 0

If X = {a, b, c, d} and Y = {f, b, d, g} , find i. X - Y ii. Y - X iii. X nn Y

Express each of the following equations in the form of ax + by + c = 0 and write the values of a, b and c. (i) 3x + 4y = 5 (ii) x - 5 = sqrt3y (iii) 3x = y (iv) x/2+y/2=1/6 (v) 3x - 7 = 0

Factorise the following using appropriate identities. (i) 16x ^(2) + 24xy + 9y ^(2) (ii) 4y ^(2) - 4y +1 (iii) 4x ^(2) - (y ^(2))/( 25) (iv) 18a ^(2) - 50 (v) x ^(2) + 5x + 6 (vi) 3p ^(2) - 24 p + 36

Draw the graph of each of the following linear equations. (i) 2y = -x + 1 (ii) –x + y = 6 (iii) 3x + 5y = 15 (iv) x/2-y/3 =3

Solve the following systems of equations : (i) x - 2y = 0 3x + 4y = 20 (ii) x + y = 2 2x + 2y = 4 (iii) 2x - y = 4 4x - 2y = 6

For each graph given below, four linear equations are given. Out of these find the equation that represents the given graph. (i) Equations are (A) y = x (B) x + y = 0 (C) y = 2x (D) 2 + 3y = 7x (ii) Equations are (A) y = x + 2 (B) y = x - 2 (C) y = -x + 2 (D) x + 2y = 6

Find p (0) p, (1) and p (2) for each of the following polynomials. (i) p (x) = x ^(2) - x +1 (ii) p (z) =z ^(3) (iii) p (y)=2 + y +2y ^(2) - y ^(3) (iii) p (z) =z ^(3) (iv) p (t) = (t-1) (t +1) (v) p (x) = x ^(2) - 3x +2

Find the degree of each of the polynomials given below (i) x ^(5) - x ^(4) +3 (ii) x ^(2) + x -5 (iii) 5 (iv) 3x ^(6) + 6y ^(3) -7 (v) 4- y ^(2) (vi) 5t - sqrt3