If A -1-2-3- B - a - b - c - which of the following is a function-A- R -1- b -1- c -3- a B- R -1- a -2- a -1- c C- R -1- b -2- c -3- a D- R -1- c -2- b -2- c

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Standard X

Mathematics

Onto Function

If A =1,2,3, ...

Question

If A = {1,2,3}, B = {a,b,c}, which of the following is a function?

R = {1,,a), (2, a), (1, c)}

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R = {(1,b), (1, c), (3, a)}

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R = {(1, b), (2, c), (3, a)}

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R = {(1, c), (2, b), (2, c)}

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Solution

The correct option is C
R = {(1, b), (2, c), (3, a)}

R = {(1, b), (2, c), (3, a)} is a function Since all the elements of the set A has an image in B and no element of A is connected to two elements of B.

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Similar questions

Q. Suppose

D = ∣ ∣ ∣ ∣ \begin{matrix} a_{1} & b_{1} & c_{1} a_{2} & b_{2} & c_{2} a_{3} & b_{3} & c_{3} \end{matrix} ∣ ∣ ∣ ∣

and

D^{'} = ∣ ∣ ∣ ∣ \begin{matrix} a_{1} + p b_{1} & b_{1} + q c_{1} & c_{1} + r a_{1} a_{2} + p b_{2} & b_{2} + q c_{2} & c_{2} + r a_{2} a_{3} + p b_{3} & b_{3} + q c_{3} & c_{2} + r a_{3} \end{matrix} ∣ ∣ ∣ ∣

. Then

Q. Let A = [p, q, r, s] and B = [1, 2, 3]. Which of the following relations from A to B is not a function?

(a) R₁ = [(p, 1), (q, 2), (r, 1), (s, 2)]
(b) R₂ = [(p, 1), (q, 1), (r, 1), (s, 1)]
(c) R₃ = [(p, 1), (q, 2), (p, 2), (s, 3)
(d) R₄ = [(p, 2), (q, 3), (r, 2), (s, 2)].

Q. If X = {–5,1,3,4} and Y = {a,b,c}, then which of the following relations are functions from X to Y ?

Match the following:

$\begin{matrix} 1. s i n (90^{\circ} - A) & a) c o s e c A 2. t a n (90^{\circ} - A) & b) c o t A 3. s e c (90^{\circ} - A) & c) c o s A \end{matrix}$

Match the following:

$\begin{matrix} 1. S i t u a t e d a b o v e t h e k i d n e y & (a) . H y p o t h a l a m u s & (p) . C a l c i t o n i n 2. S i t u a t e d b e l o w t h e l a r y n x & (b) . A d r e n a l g l a n d & (q) . O x y t o c i n 3. S i t u a t e d i n t h e b r a i n & (c) . T h y r o i d & (r) . C o r t i s o n e \end{matrix}$

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If A = {1,2,3}, B = {a,b,c}, which of the following is a function?

The correct option is C R = {(1, b), (2, c), (3, a)} R = {(1, b), (2, c), (3, a)} is a function Since all the elements of the set A has an image in B and no element of A is connected to two elements of B.

The correct option is C
R = {(1, b), (2, c), (3, a)}

R = {(1, b), (2, c), (3, a)} is a function Since all the elements of the set A has an image in B and no element of A is connected to two elements of B.