.
(i) `i= 2 A`
(ii) `i_1 = (10)/(3) A`
(iii) `i_2 = - (4)/(3) A`.

Match Column - I with Column - II and select the CORRECT option from the codes given below. (a) 1 - (ii), 2 - (i), 3 - (iv) , 4 - (iii) (b) 1 - (iv), 2 - (i), 3 - (ii) , 4 - (iii) (c) 1 - (iv), 2 - (iii), 3 - (ii) , 4 - (i) (d) 1 - (iii) , 2 - (iv), 3 - (i) , 4 - (ii)

Write the following in the form x+iy: (i) (2i)^(3) (ii) i^(-35) (iii) (-i)(2i)(-(1)/(8)i)^(3) .

Convert each of the following in the form of (a + i b) : (i) 3(1+i)-2(2+3i) (ii) (1)/(4-5i) (iii) (1-2i)^(-2) (iv) (2-3i)/(3+5i) (v) [(1)/(1-2i)+(3)/(1+i)][(3+4i)/(2-4i)]

Simplify the following : (i) i^7 " " (ii) i^(1729) " " (iii) i^(-1924) + i^(2018) " " (iv) sum_(n=1)^(102) i^(n) " " (v) i i^2 i^3 …..i^(40)

Convert the following in the form of (a+ib) : (i) (1+i)^(4) (ii) (-3+(1)/(2)i)^(3) (iii) (1-i)(3+4i) (iv) (1+i)(1+ 2i)(1+ 3i) (v) (3+5i)/(6-i) (vi) ((2+3i)^(2))/(2+i) (vii) ((1+ i)(2+i))/((3+i)) (viii) (2-i)^(-3)

Convert the following in the form of (a+ib) : (i) (1+i)^(4) (ii) (-3+(1)/(2)i)^(3) (iii) (1-i)(3+4i) (iv) (1+i)(1+ 2i)(1+ 3i) (v) (3+5i)/(6-i) (vi) ((2+3i)^(2))/(2+i) (vii) ((1+ i)(2+i))/((3+i)) (viii) (2-i)^(-3)

Express each of the following in the standerd from a + ib (i) (5+4i)/(4+ 5i) (ii) ((1 +i)^(2))/(3-i) (iii) (1)/(1-cos theta + 2i sintheta)

Express each of the following in the standerd from a + ib (i) (5+4i)/(4+ 5i) (ii) ((1 +i)^(2))/(3-i) (iii) (1)/(1-cos theta + 2i sintheta)

(i) x^(4) (ii) x^(-3) (iii) 3x^(2)

Find : (a) 1/2 of (i) 24 (ii) 46 (b) 2/3 of (i) 18 (ii) 27 (c) 3/4 of (i) 16 (ii) 36 (d) 4/5 of (i) 20 (ii) 35