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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-3-EXERCISE
  1. If the cartesian equation of a line is (3-x)/5=(y+4)/7=(2z-6)/4 then w...

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  2. If Z is the set of all integers and R is the relation on Z defined as...

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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. if ** is the binary operation on N given by a**b= L. C. M of a and b. ...

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  5. Prove that tan^(-1)sqrt(x) =(1)/(2) cos^(-1)((1-x)/(1+x)), x in (0, 1)...

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  6. Sole the following LPP graphically Maximise Z=6x(1)+7x(2) Subject ...

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  7. If A=[{:(1,-2,2),(3,1,-1):}]andB=[{:(2,4),(1,2),(3,-1):}] , then veri...

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

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  9. Prove that the following. [[a-b-c,2a,2a],[2b,b-c-a,2b],[2c,2c,c-a-b]]=...

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  10. Prove the following: [[b^2-ab,b-c,bc-ac],[ab-a^2,a-b,b^2-ab],[bc-ac,...

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  11. Find the value of k if the function f(x) defined by f(x)={(2x-1,when x...

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  12. If y=log[x+sqrt(x^(2)+1)], then prove that (x^(2)+1)(d^(2)y)/(dx^(2))+...

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  13. If sin y = x sin (a + y) then show that (dy)/(dx)=(sin^2(a+y))/(sina)

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  14. Find the equations of the tangent to the curve x = sin 3t, y = cos 2t ...

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  15. If f(x) = a In x + bx^2 + x has extreme values at x= - 1 and x = 2 the...

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  16. Evaluate the following integrals : int(cos^(-1)x)/(sqrt(1-x^(2)))dx.

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  17. Evaluate int(sin x - cos x)dx.

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  18. Prove that int0^(pi/2)lnsinxdx=pi/2ln( 1 /2)

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  19. Determine the area the of the region between the curves y=cos x and y=...

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  20. Solve the differential equation (1+x^2)(dy)/(dx)+y= tan^(-1)x

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