Jr. MATHEMATICS 24. Period of the function fix) = cos (2p (21) + sin (2 (2x))...

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Jr. MATHEMATICS 24. Period of the function fix) = cos (2p (21) + sin (2 (2x)) is (where (x) denotes the fractional part of x). 1) 1 defined by 18. The function f:NN f(a) =x-5 where N is the set of natural 2) p/2 3) 1/2 4) p numbers and [r] denotes the greatest integer less than or equal to x, is. defined by 25. Let f: R- 0. 1) one-one and onto 2) onto but not one-one f(x)=tan (+x+1). then the set of 3) neither one-one nor onto values of I for which fis onto, is 4) one-one but not onto 19. For real x, let fla) =+ Sr + 1, then ) [0,-) 2) [-2, 1] 3) 4) (0.1] 26. If n(A) = 4, n(B) = 5, and number of functions from A to B such that range contains exactly 3 elements is k then k/60 = 1)f is one-one but not onto R %3D 2) f is onto R but not one-one 3) / is one-one and onto R 4) f is neither one-one nor onto R 1)5 2) 6 3) 4 4) 2 20. Let fr) = (x +1)-1, x2-1 Statement-1 : The set (x: fx) =)-(0.-1) Statement-2 : fis a bijection 27. If f(x) is an even function and satisfies the relation xf)-25- se g(x) where g(x) is 1) Statement-1 is truc, Statement-2 is truc; Statement-2 is a correct explanation for Statement-1 an odd function, then f(5) equals 2)1 3) 3 4) 5 2) Statement-1 is true, Statement-2 is true; Statement-2 is not correct explanation for Statement-1 28. If is a function such that Ro) = 2, f(1) = 3 and fe+2)=2fix-fx+1) for every real T. then f(5) is 1)7 29. If E|-2,21R where 3) Statement-1 is true, Statement-2 is false 4) Statement-1 is false, Statement-2 is true ON MA 2) 13 3) 1 4) 5 21. The domain of the hinction x) Jo)=+tan.x+ 1) (0) 2) ()-101 is an odd function, then the value of parameter 'P where J denotes the greatest integer function is such that 3) (-) 4) (0,-) 22. The domain of the function 1) -5<P<5 2) P< 5 4) None of these Vain }+ (sin (x + x)} (where (-) denotes the fractional part ) is 3) P>5 30. The function f is continuous and has the property fUx))=1-x, then the value of 1) [0.x] 2)(2n+ n is an ioteger is 3) (0.x) 4) R- n is un integer 23. Let A be A non-empty set of realnumbers and f:AA be such that )) for all x in A. Then fis 1) a bijection 3) onto but not one-one 4) neither one-one nor onto 1) 0 2) 1 3) 4)-1 31. The range of (z)=[1 sin xl+Tcosr. where 11 denotes the greatest integer function, is 1) (0) 2) one- one but not onto 2) (0. 11 3) (11 4){0.1.2} Jr. MATHEMATICS 24. Period of the function fix) = cos (2p (21) + sin (2 (2x)) is (where (x) denotes the fractional part of x). 1) 1 defined by 18. The function f:NN f(a) =x-5 where N is the set of natural 2) p/2 3) 1/2 4) p numbers and [r] denotes the greatest integer less than or equal to x, is. defined by 25. Let f: R- 0. 1) one-one and onto 2) onto but not one-one f(x)=tan (+x+1). then the set of 3) neither one-one nor onto values of I for which fis onto, is 4) one-one but not onto 19. For real x, let fla) =+ Sr + 1, then ) [0,-) 2) [-2, 1] 3) 4) (0.1] 26. If n(A) = 4, n(B) = 5, and number of functions from A to B such that range contains exactly 3 elements is k then k/60 = 1)f is one-one but not onto R %3D 2) f is onto R but not one-one 3) / is one-one and onto R 4) f is neither one-one nor onto R 1)5 2) 6 3) 4 4) 2 20. Let fr) = (x +1)-1, x2-1 Statement-1 : The set (x: fx) =)-(0.-1) Statement-2 : fis a bijection 27. If f(x) is an even function and satisfies the relation xf)-25- se g(x) where g(x) is 1) Statement-1 is truc, Statement-2 is truc; Statement-2 is a correct explanation for Statement-1 an odd function, then f(5) equals 2)1 3) 3 4) 5 2) Statement-1 is true, Statement-2 is true; Statement-2 is not correct explanation for Statement-1 28. If is a function such that Ro) = 2, f(1) = 3 and fe+2)=2fix-fx+1) for every real T. then f(5) is 1)7 29. If E|-2,21R where 3) Statement-1 is true, Statement-2 is false 4) Statement-1 is false, Statement-2 is true ON MA 2) 13 3) 1 4) 5 21. The domain of the hinction x) Jo)=+tan.x+ 1) (0) 2) ()-101 is an odd function, then the value of parameter 'P where J denotes the greatest integer function is such that 3) (-) 4) (0,-) 22. The domain of the function 1) -5<P<5 2) P< 5 4) None of these Vain }+ (sin (x + x)} (where (-) denotes the fractional part ) is 3) P>5 30. The function f is continuous and has the property fUx))=1-x, then the value of 1) [0.x] 2)(2n+ n is an ioteger is 3) (0.x) 4) R- n is un integer 23. Let A be A non-empty set of realnumbers and f:AA be such that )) for all x in A. Then fis 1) a bijection 3) onto but not one-one 4) neither one-one nor onto 1) 0 2) 1 3) 4)-1 31. The range of (z)=[1 sin xl+Tcosr. where 11 denotes the greatest integer function, is 1) (0) 2) one- one but not onto 2) (0. 11 3) (11 4){0.1.2}