(a) Express 10, 100, 1000, 10000, is exponential form
(b) Express in simplest exponential form
(i) `16xx64` (ii) `25xx125` (iii) `128div 32`

Which of the following lists of numbers form GP? (i) 3,6,12,…….. (ii) 64, -32, 16 , (iii) 1/64, 1/32, 1/8 ,………

Write the following sets in the set-builder form (i) {3,6,9,12} (ii) {2,4,8,16,32} (iii) {5,25,125,625} (iv) {1,4,9,16,25,100}

Express each of the following complex number in the form a+ib: i^(37)xx(1)/(i^(67))

Using the above theorems, without actual division, state whether decimal form of the following rational numbers are terminating or non-terminating, repeating decimals. (i) 6/125 (ii) 25/32 (iii) 100/81 (iv) 41/75

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

Which of the following are Aps? If they form an AP, find the common difference d and write the next three terms. (i) 24m8m16,….. (ii) 2,5/2, 3, 7/2 ,….. (iii) -1.2, -3.2, -5.2, -7.2 ,…….. (iv) -10,-6,-2,2 ,……….. (v) 3,3+sqrt(2), 3+2sqrt(2), 3+3sqrt(2) ,.......... (vi) 0.2, 0.22, 0.222, 0.2222,..... (vii) 0,-4, -8,-12 ,.......... (viii) -1/2, -1/2, -1/2, -1/2 ,........... (ix) 1,3,9,27,....... (x) a,2a, 3a, 4a,....... (xi) a, a^(2), a^(3), a^(4) ,......... (xii) sqrt(2), sqrt(8), sqrt(18), sqrt(32) ,...... (xiii) sqrt(3), sqrt(6), sqrt(9), sqrt(12) ,...............

Match each of the set on the left in the roster form with the same set on the right described in set-builder form: (i) {1, 2, 3, 6} (a) {x : x is a prime number and a divisor of 6} (ii) {2, 3} (b) {x : x is an odd natural number less than 10} (iii) {M,A,T,H,E,I,C,S} (c) {x : x is natural number and divisor of 6} (iv) {1, 3, 5, 7, 9} (d) {x : x is a letter of the word MATHEMATICS}.

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

Consider a coin of Question 20. It is electrically neutral and contains equal amounts of positive and negative charge of magnitude 34.8 kC. Suppose that these equal charges were concentrated in two point charges separated by: (i) 1 cm (-1/2) xx displacement of the one paisa coin) (ii) 100 m (-length of a long building) (iii) 10^(6) m (radius of the earth). Find the force on each such point charge in each of the three cases. What do you conclude from these results ?