In Fig.23, `O A\ a n d\ O B` are opposite rays: (i) If `( i i ) (iii) x=( i v ) (v) 25^(( v i )0( v i i ))( v i i i ) , (ix)` (x) what is the value of `( x i ) (xii) y ? (xiii)` (xiv) (xv) If `( x v i ) (xvii) y=( x v i i i ) (xix) 35^(( x x )0( x x i ))( x x i i ) , (xxiii)` (xxiv) what is the value of `( x x v ) (xxvi) x ? (xxvii)` (xxviii)

In Fig.78, we have (i) ( i i ) (iii)/_M L Y=2/_L M Q , (iv) (v) find ( v i ) (vii)/_L M Q (viii) (ix) (x) ( x i ) (xii)/_X L M=( x i i i ) (xiv)(( x v ) (xvi)2x-10 (xvii))^(( x v i i i )0( x i x ))( x x ) (xxi) (xxii) and ( x x i i i ) (xxiv)/_L M Q=x+( x x v ) (xxvi) 30^(( x x v i i )0( x x v i i i ))( x x i x ) , (xxx) (xxxi) find ( x x x i i ) (xxxiii) xdot( x x x i v ) (xxxv) (xxxvi) ( x x x v i i ) (xxxviii)/_X L M=/_P M L ,\ ( x x x i x ) (xl) find ( x l i ) (xlii)/_A L Y (xliii) (xliv) (xlv) ( x l v i ) (xlvii)/_A L Y=( x l v i i i ) (xlix)(( l ) (li)2x-15 (lii))^(( l i i i )0( l i v ))( l v ) ,\ /_L M Q=( l v i ) (lvii)(( l v i i i ) (lix) x+40 (lx))^(( l x i )0( l x i i ))( l x i i i ) , (lxiv) (lxv) find ( l x v i ) (lxvii) xdot( l x v i i i ) (lxix)

i. ii. iii. iv. iv. v.

(v) (1-i) ^ (2) (1 + i) - (3-4i) ^ (2)

In Fig. 7.8, O A" "=" "O B a n d" "O D" "=" "O C . Show that (i) ( i i ) (iii)DeltaA O D~=DeltaB O C (iv) (v) and (ii) ( v i ) (vii) A D" "||" "B C (viii) (ix)

Find the square root of the following : (i) 3-4i (ii) 4+6isqrt(5) (iii) -i (iv) 8i (v) -7+24i (vi) -24- 10i

Find the values of x and y : (i) x+3i=6-9iy (ii) (x+iy)-(3-2i)=5+i (iii) i=x+2yi (iv) 4x+i(x-y)=2-5i (v) (x+2iy)(2-i)^(2)=10(1-i)

Simplify the following : (i) i^(97) (ii) i^(8) (iii) (1)/(i^(3)) (iv) (-i)^(14) (v) i^(-22) (vi) i^(-63)

Identify: i. ii. iii. iv. v. vi.

Evaluate the following : (i) i^(7) (ii) i^(51) (iii) (1)/(i) (iv) i^(-71) (v) (i^(37)+(1)/(i^(67)))