CBSE Guess > Papers > Important Questions > Class XII > 2011 > Maths > Maths By Mrs. E.Praveen

CBSE CLASS XII

Functions and Relations (1 Mark)

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21. Evaluate sin{ 1/2 cos ^-1(4/5) }.
22. Find gof(-5/2) and fog(3/2) if f is identity function and g is signum function .
23. Evaluate the value of cos ^-1(-1/2) + Sin ^-1(-√3/2).
24. If : R → R ,a,b,c,d є R such that (a,b) *(c,d) = (ac, b + ad) Find the identity element of the function.
25. Let * be a binary operation defined by a * b =2ab-7. Is * associative?
26. Write the range of one branch of sin ^-1 x, other than the Principal Branch.
27. If f(x) = x-1 / x+1;, then find f ^-1(x ).
28. Find the value of cosec (sec ^-1 ө+cosec ^-1 ө).
29. Evaluate : Cos (π/3- sin^-1(-√3/2)).
30. Show that the function f: R → R such that f(x) = x² is neither one –one nor onto.
31. If f(x) = x + 7 and g(x) = x – 7, x є R, find (fog) (7).
32. Let * be a binary operation on N given by a * b = H.C.F. ( a , b ) , a, b є N. Find 12 * 4.
33. if f(x)=x²-1 and g(x)=2x+3 find fog(2).
34. if sin(sin^-1 1/5 + cos^-1 x) = 1, then find the value of x.
35. Evaluate: sin [ π/3 - sin^-1(-1/2) ].
36. Which of the following graph represent a function .



37. Write the range of one branch of cos x, other than the principal branch.
38. Which one of the following graphs represents an identity function? Why?



39. Let A = {1, 2, 3) and B = {4, 5, 6}, f: A → B is a function defined on f(1) = 4, f(2)=5and f(3) = 6. Write the inverse as set of ordered pairs.
40. Let * be the binary operation on N defined by a*b = a+b+10 for all a, b є N and if 3*p=15 then find p.
41. Find the value of the parameter for which the function is the inverse of itself.
42. If f(x) = e^x and g(x) = log_ex , find fog and gof. Is fog = gof ?

 

Submitted By Mrs. E.Praveen
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