Write the following in Hindu Arabic numerals: (i)DCXCVII (ii) KCIX (iii) KKKCDVI (iv)` """C K X X I"` (V) ` "X I" D C C(vi) D X I I"`

Write the following in Hindu-Arabic numerals: XXVI (ii) XXIX (iii) LXXII (iv) XCI

Write each of the following in Hindu-Arabic numeral: (i) CCXXIV (ii) CCCLXV (iii) DCCLXVI

Write the following in Hindu-Arabic numerals: XXIX(ii) LXXXIX(iii)CLXV (iv)CCXXVIII(v)CDXLVI

Write the following in Hindu-Arabic numerals: (i) bar(I V) C D X L I V (ii) bar(V I)C K X L I X (iii) bar(I X)C C C X C I (iv) bar( L X)X I X

Write the corresponding Hindu-Arabic numerals for each of the following: (i)CIXÂ (ii) CLXXII (iii)CCLIV (iv) CCCXXIX

Which of the following is/are not carrectly mathched pairs ? (a) (ii) and (iii) (b) (i) and (iv) (c) (v) only (d) (ii) only

Convert the following polar coordinates to its equivalent Cartesian coordinates. (i) ( i i ) (iii)2,pi)( i v ) (v) (ii) ( v i ) (vii)(( v i i i ) (ix)sqrt(( x )2( x i ))( x i i ) , (xiii)pi/( x i v )6( x v ) (xvi) (xvii))( x v i i i ) (xix) (iii) ( x x ) (xxi)(( x x i i ) (xxiii)-3,-( x x i v )pi/( x x v )6( x x v i ) (xxvii) (xxviii))( x x i x ) (xxx)

Convert the following points from polar coordinates to the corresponding Cartesian coordinates. (i) ( i i ) (iii)(( i v ) (v)2, (vi)pi/( v i i )3( v i i i ) (ix) (x))( x i ) (xii) (ii) ( x i i i ) (xiv)(( x v ) (xvi)0, (xvii)pi/( x v i i i )2( x i x ) (xx) (xxi))( x x i i ) (xxiii) (iii) ( x x i v ) (xxv)(( x x v i ) (xxvii)-sqrt(( x x v i i i )2( x x i x ))( x x x ) , (xxxi)pi/( x x x i i )4( x x x i i i ) (xxxiv) (xxxv))( x x x v i ) (xxxvii)

If A = {x : x is a natural number}, B = {x : x is an even natural number}, C = {x : x is an odd natural number} and D = {x : x is a prime number}, Find : (i) A cap B (ii) A cap C (iii) A cap D (iv) B cap C (v) B cap D (vi) C cap D .

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