In which of the following tables a and b vary directly? (i) a: 7, 9, 13, 21, 25 b: 21, 27, 39, 63, 75 (ii) a: 10, 20, 30, 40, 46 b: 5, 10, 15, 20, 23 (iii) a: `1^2` , `2^2` , `3^2` , `4^2` , `5^2` b: `1^3` , `2^3` , `3^3` , `4^3` , `5^3`

In which of the following tables, a\ a n d\ b vary directly. Also, find the constant of variation if a\ a n d\ b are in direct variation. (i) a: 4, 7, 21, 28 and b:12, 21, 63, 84 (ii) a: 2.5, 5, 7.5, 10, 15 and b:10, 20, 30, 40, 60 (iii) a:1, 2, 3, 4, 5 and b:2, 1, 6, 3, 2/5

Write each of the following as decimals: (i) 40 2/5 (ii) 39 2/(10) (iii) 4 3/5 (iv) 25 1/2

Arrange the following in descending order : (i) 2/9, 2/3, 8/21 (ii) 1/5, 3/7, 7/10

Write the following rational numbers in ascending order: (i) (-3)/5, (-2)/5, (-1)/5 (ii) (-1)/3, (-2)/9, (-4)/3 (iii) (-3)/7, (-3)/2, (-3)/4

Complete the following tables given that x varies directly as y . (i) x, 2.5, ..., ..., 15 y, 5, 8, 12, ... (ii) x 5 ... 10 35 25 ... y 8 12 ... ... ... 21 (iii) x 6 8 10 ... 20 y 15 20 ... 40 ... (iv) x, 4, 9, ..., ..., 3, ... y, 16, ..., 48, 36, ..., 4 (v) x, 3, 5, 7, 9 y, ..., 20, 28, ...

Which of the following fractions is the smallest? 1/2,3/7,3/5,4/9 (a) 4/9 (b) 3/5 (c) 3/7 (d) 1/2

If A={1,2,3} and B={2,3,4} , find which of the following are the functions from A to B? (i) f={(1,2),(2,3),(3,4)} (ii) g={(1,2),(1,3),(2,3),(3,4)} (iii) h={(1,3),(2,4)}

State with reason whether following functions have inverse (i) f:{1,2,3,4} ->{10} " with " f={(1, 10),(2, 10),(3, 10),(4, 10)} (ii) g:{5, 6, 7, 8}->{1,2,3,4}" with "g={(5, 4),(6, 3),(7, 4),(8, 2)} (iii) h : {2, 3, 4, 5} → {7, 9, 11, 13}" with "h = {(2, 7), (3, 9), (4, 11), (5, 13)}

Find the distance between the following pairs of points : (i) (2,3),(4,1) (ii) (-5,-7),(-1,3) (iii) (a,b),(-a,-b)

Find the direction cosines of the line joining the following points : (i) A(2,-1,3), B(3,1.1) ( ii) A(2,-1,2), B(-4,2,0) (iii) A(4,3,-5), B(-2,1,-8)