In which of the following tables `x\ a n d\ y` vary inversely: (i) x, 4, 3, 12, 1 y, 6, 8, 2, 24 (ii) x, 5, 20, 10, 4 y, 9, 12, 8, 36 (iii) x, 4, 3, 6, 1 y, 9, 12, 8, 36 (iv) x 9 24 15 3 y 8 3 4 25

It x\ a n d\ y vary inversely, fill in the following blanks: (i) x ,2, 16, ..., 8 ,... y ,... ,6 ,4 ,... ,0.25 (ii) x ,16, 32, 8, 128 y, 4 ,... ,... ,0.25 (iii) x,9, ..., 81, 243 y,27, 9, ..., 1

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, ...

It x\ a n d\ y vary inversely, fill in the following blanks: (i) x 12 16 ... 8 ... y ... 6 4 ... 0.25 (ii) x 16 32 8 128 y 4 ... ... 0.25 (iii) x, 9, ..., 81, 243 y, 27, 9, ..., 1

Factorize each of the following expressions: 9x^2-4y^2 (ii) 36 x^2-12 x+1-25 y^2

Show that the following equations are consistent: 7x-4y+12=0,8x-y+3=0,x+3y-9=0

Find the mode of the following discrete series. {:(x,f," "x,f),(1,5," "5,12),(2,4," "6,3),(3,6," "7,9),(4,8," "8,10):}

Fill up the blanks: (i) (x,y) = (3, ..), (....,7), (8, 16), (9, ...), (...., 10), (1, 2) (ii) (x,y) = (....,6), (8,3), (12, ...), (16, 3/2), (....,3/4), (48,....)

If U = {2, 3, 4, 5, 6, 7, 8, 9} X = {3, 5, 7, 9} Y = {2, 4, 6, 8} Show that X = Y’ and Y = X’

If x\ a n d\ y vary directly, find the missing entires in the following tables (i) x 2.5 ... ... 21 y 5 8 24 ... (ii) x ... 9 15 ... y 3 4.5 7.5 13.25

Distance between the lines 3 x+4 y=9 and 6 x+8 y=15 is