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If A = {1, 2, 3}, B = {4, 5, 6, 7} and f...

If A = {1, 2, 3}, B = {4, 5, 6, 7} and f = {(1, 4), (2, 5), (3, 6)} is a function from A to B. State whether f is one-one or not.

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If A = {1, 2, 3), B = {4, 5, 6, 7) and f = {(1,4),(2,5), (3,6)} is a function from A to B.b State whether f is one-one or not.

Let A={1,2,3}, B={4,5,6,7} and let f={(1,4),(2,5),(3,6)} be a function from A to B. State whether f is one-one or not.

Let f = {(1,3), (2,4), (3,7)} and g = {(3,2), (4,3), (7,1)} determine gof?

Let A = R-{2} and B = R - {1}. If f : A rarr B is a function defined by f(x)= (x-1)/(x-2) then show that f is one-one and onto. Hence, find f^(-1) .

Let f= {(1,3),(2,4),(3,7)} and g ={(3,2),(4,3),(7,1)} Determine gof and fog if possible . Test whether fog =gof.

If the mapping f and g are given by f= {(1,2), (3, 4), (5, 6), (7, 8)}, g={(2, 5),(4, 7),(6, 3),(8, 1)} then find (i) gof (ii) fog. Hence show that composition of functions is not commutative.

If f:{1, 3, 4} to {1,2,5} and g:{1,2,5} to {1, 3} given by f = {(1, 2), (3, 5), (4, 1)} and g = {(1, 3), (2, 3), (5, 1)}. Write down gof.

If n(A)=4 and n(B)=6 then the number of one-one function from A to B is-

Let A={1,2,3}, B={4,5}. Is there any relation which both a relation from A to B and from B to A?

SHARAM PUBLICATION-MODEL QUESTION PAPER-2-EXERCISE
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  2. Write the vector equation ofthe line given by (x - 5)/3 = (y + 4)/7 = ...

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  3. If A = {1, 2, 3}, B = {4, 5, 6, 7} and f = {(1, 4), (2, 5), (3, 6)} i...

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  4. Solve: tan^(-1)x+2cot^(-1)x=(2pi)/3

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  7. Using elementary operation find the inverse of [(2,3),(5,7)]

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  8. Construct a 2 xx 3 matrix whose element are given by a(ij) = i + j.

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  9. Find the value of |{:(17,58,97),(19,60,99),(18,59,98):}| without expan...

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