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 b, 12, 21, 63, 84 (ii) a, 2.5, 5, 7.5, 10, 15 b, 10, 20, 30, 40, 60 (iii) a, 1, 2, 3, 4, 5 b, 2, 1, 6, 3, 2/5

which of the following relations are functions from A={1,3,5,7,9} to B={1,2,3,4,5} f={(3,2),(1,5),(5,1),(7,4),(9,5)}

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

Check which of the following is a function ( i ){(2,1),(4,2),(6,3),(8,4),(10,5),(12,6),(14,7)} (ii) {(-4,4),(4,4),(3,2)}

Which of following is true if B = [(2,-1,3),(-4,5,1)] and A = [(2,3),(4,-2),(1,5)] ?

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)}

Show that the following points are collinear: (i) A(2, -2), B(-3, 8) and C(-1, 4) (ii) A(-5, 1), B(5, 5) and C(10, 7) (iii) A(5, 1), B(1, -1) and C(11, 4) (iv) A(8, 1), B(3, -4) and C(2, -5)

Find the matrices A and B for which (i) 2A+B=[[2,3],[5,1]] and 3B-2A=[[10,1],[3,5]]

Find the inverses of the following matrices (if they exist) : (1) {:((1,3),(2,7)):}" "(2) {:((2,1),(7,4)):}" "(3) {:((1,-1),(2,3)):}" "(4) {:((3,-10),(2,-7)):}

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)