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

Find the mode of the following data: (i) 3, 5, 7, 4, 5, 3, 5, 6, 8, 9, 5, 3, 5, 3, 6, 9, 7, 4 (ii) 3, 3, 7, 4, 5, 3, 5, 6, 8, 9, 5, 3, 5, 3, 6, 9, 7, 4 (iii) 15, 8, 26, 25, 24, 15, 18, 20, 24, 15, 19, 15

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, ...

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

Find the values of x and y. If (i) (x,4)=(-7,y) (ii) (x-3,6)=(4,x+y)

Factorize each of the following algebraic expressions : x^8-y^8 (ii) a^(12)x^4-a^4x^(12)

If the mean of the following distribution is 2.6, then the value of y is Variable (x) : 1 2 3 4 5 Frequency (y) : 4 5 y 1 2 (a) 3 (b) 8 (c) 13 (d) 24

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

Find the values of x, y and z from the following equations:(i) [[4, 3],[x,5]]=[[y, z],[1, 5]] (ii) [[x+y,3],[ 5+z, x y]]=[[6, 3],[ 5 ,8]] (iii) [[x+y+z],[ x+z],[ y+z]]=[[9],[ 5],[ 7]]

Find the equation of the regression line of y on x, if the observation (x,y) are as follows : (1, 4), (2, 8), (3, 2), (4, 12), (5, 10), (6, 14), (7, 16), (8, 6), (9, 18) Also, find the estimated value of y when x = 14.