`f={(2, 1), (3, b), (4, b), (5, c)}` is a____.

Which of the following functions from A to B are one-one and onto? f_1={(1,\ 3),\ (2,\ 5),\ (3,\ 7)};\ \ A={1,\ 2,\ 3},\ \ B={3,\ 5,\ 7} (ii) f_2={(2,\ a),\ (3,\ b),\ (4,\ c)};\ \ A={2,\ 3,\ 4},\ \ B={a ,\ b ,\ c} (iii) f_3={(a ,\ x),\ (b ,\ x),\ (c ,\ z),\ (d ,\ z)};\ \ A={a ,\ b ,\ c ,\ d},\ \ B={x , y , z}

Which of the following functions from A to B are one-one and onto? f_1={(1,\ 3),\ (2,\ 5),\ (3,\ 7)};\ \ A={1,\ 2,\ 3},\ \ B={3,\ 5,\ 7} (ii) f_2={(2,\ a),\ (3,\ b),\ (4,\ c)};\ \ A={2,\ 3,\ 4},\ \ B={a ,\ b ,\ c} (iii) f_3={(a ,\ x),\ (b ,\ x),\ (c ,\ z),\ (d ,\ z)};\ \ A={a ,\ b ,\ c ,\ d},\ \ B={x , y , z}

If f={(a, 0), (b, 2), (c, -3)}, g={(a, -1), (b, 1), (c, 2)} then 2f-3g=

Which of the following functions from AtoB are one-one and onto? f_1={(1,3),(2,5),(3,7)};A={1,2,3},B={3,5,7} f_2={(2, a),(3, b),(4, c)};A={2,3,4},B={a , b , c} f_3={(a , x),(b , x),(c , z),(d , z)}; A={a , b , c , d},B={x , y , z}

If A={1, 2, 3}, B={a, b, c, d}, f={(1, a), (2, b), (3, d)} , then f is

If ({:(1, 0),(0, 1):})({:(a, b+c),(b-c, d):}) = ({:(4, -5),(3, 2):}) , then (a-b) + (c-d)=____.

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)

If A = [{:(3, 2),(1, 4):}], B = [{:(-5, 9), (3, 4):}]," and C" = [{:(-3, 6),(2, 1):}], then find 2A + 3B - 4C.

Which of the following functions from A to B are one-one and onto? f_(1)={(1,3),(2,5),(3,7)};A={1,2,3},B={3,5,7}f_(2)={(2,a),(3,b),(4,c)};A={2,3,4},B={a,b,c}f_(3)={(a,x),(b,x),(c,z),(d,z)};A={a,b,c,d},B={x,y,z}

Let A=[{:(2,4),(3,2):}],B=[{:(1,3),(-2,5):}]" and "C=[{:(-2,5),(3,4):}]. Find: (i) A+2B (ii) B-4C (iii) A-2B+3C