24 th Jr. MATHEMATICS 81+log x V3 T 1 2 3 2 4 69. If f(x)...

Transcribed Image Text:

24 th Jr. MATHEMATICS 81+log x V3 T 1 2 3 2 4 69. If f(x) = then f(2007) = TC TC TC log 8 2) VZ 4 2 3 1) log (2007) 2) (2007) log8 3) 8 4) 2007 TT -TC TT TC 3) 3 4 4) 4'3 70. The range of f(x)= 1+\x| is 78. Let N be the set of all natural numbers and 1) (-1,1) 2) [-2,2) 3) (-1,2) 4) (1,2) f:N→N be such that 1990 < f (1990)<2100 and satisfies the equa- 71. Which of the following function from z to z (set of Integers) is a bijection ? tion x-f(x)=19 19 f(x) 90 90 1) Ax) = x³ 2) (x) = x + 2 where y| %3D 3) f(x) = 3x + 1 4) f(x) = x² + 2x %3D %3D denotes the greatest integer less than or equal 72. If N denotes the set natural numbers and Then the number of possible values of f (1990) is 1) 1 to y. f:N→N is defined by f(x) = 2x + 3 then observe the following statements. I) (f+5)(x)=2x+8 II) ƒ'(3)+f"(5)=1 Which of the following is correct. (AP Eamcet 2017) 2) 2 3) 3 4) 4 79. The function f:R-{1}→R-{4} defined by 1) Both I and II are true 2) I is true, II is false f (x)= 4х-3 for xER-{1} is 3) I is false, II is true %3D | X-1 4) Both I and II are false (AP Eamcet 2017) 73. f: N R such that f(1) = 1 and f(1) + 2f(2) + 3f(3)+ ... + nf(n) = n(n+1) f(n) then which of the following statement (s) is (are) true 1) One - one but not onto 2) Onto but not one-one %3D %3D 3) One-one and onto 1 Neither one-one nor onto Statement - I: f(x) = . for x >1. 80. A function from A={x:-1<xS1} to itself which is not a bijection is (AP Eamcet 2017) 2x %3D Statement – II : f(2009) = 2009. 1) only I ATION M %3D 2) only II 1) f(x)=x|x| 2) f(x)=x³ 3) Both I & II 4) Neither I nor II TTX 3) f(x)=x² 4) f(x)= sin 74. If f(x) is a real function defined on [-1,1], then the real function g(x) = f(5x+4) s defined on the 1 81. If f:R-{0}→R is defined by f(x)=x+- interval and if p* (x)=[S (x)]* for then * (x)-f(x*)– 4f² (x) = (AP Eamcet 2017) 1) [-4, 9] 2) [-1,9] 3) [-2,9] 4) [-3,9] k 21 75. If f:N→R is defined by f(1)=1 and f(n+1)= 3f(n)-2 for n>1 , then f is 1) -2 2) 2 3) 1 4) -1 1) one-one 2) onto 4) f(n)>0 forn>1 82. Let A={-4,–2,–1,0,3,5} and f:A→R be de- 3) a constant function 3x-1 for x> 3 76. If f:R-→ R,g;R→R are defined by f(x)= 5x-3, g(x) = x²+ 3, then (gof') (3) = .2 f(x) ={x +1 for -3<x<3 %3D fined by hen 2x-3 for x<-3 25 4) 111 25 111 9. 1) 9. 2) 25 3) 25 Then the range of f is (AP Eamcet 2017) 1) {-11,–7,2,1,8,14} 2) {-11,5,2,1,8,14} 3) {-11,5,2,1,10,14} 4) {-11,-7,-5,1,10,14} TC 77. If A=XERI <xs 4. and f(x) = sin x-x, 3. then f(A)= RD AKASH FAST TRACK CRD 7. 24 th Jr. MATHEMATICS 81+log x V3 T 1 2 3 2 4 69. If f(x) = then f(2007) = TC TC TC log 8 2) VZ 4 2 3 1) log (2007) 2) (2007) log8 3) 8 4) 2007 TT -TC TT TC 3) 3 4 4) 4'3 70. The range of f(x)= 1+\x| is 78. Let N be the set of all natural numbers and 1) (-1,1) 2) [-2,2) 3) (-1,2) 4) (1,2) f:N→N be such that 1990 < f (1990)<2100 and satisfies the equa- 71. Which of the following function from z to z (set of Integers) is a bijection ? tion x-f(x)=19 19 f(x) 90 90 1) Ax) = x³ 2) (x) = x + 2 where y| %3D 3) f(x) = 3x + 1 4) f(x) = x² + 2x %3D %3D denotes the greatest integer less than or equal 72. If N denotes the set natural numbers and Then the number of possible values of f (1990) is 1) 1 to y. f:N→N is defined by f(x) = 2x + 3 then observe the following statements. I) (f+5)(x)=2x+8 II) ƒ'(3)+f"(5)=1 Which of the following is correct. (AP Eamcet 2017) 2) 2 3) 3 4) 4 79. The function f:R-{1}→R-{4} defined by 1) Both I and II are true 2) I is true, II is false f (x)= 4х-3 for xER-{1} is 3) I is false, II is true %3D | X-1 4) Both I and II are false (AP Eamcet 2017) 73. f: N R such that f(1) = 1 and f(1) + 2f(2) + 3f(3)+ ... + nf(n) = n(n+1) f(n) then which of the following statement (s) is (are) true 1) One - one but not onto 2) Onto but not one-one %3D %3D 3) One-one and onto 1 Neither one-one nor onto Statement - I: f(x) = . for x >1. 80. A function from A={x:-1<xS1} to itself which is not a bijection is (AP Eamcet 2017) 2x %3D Statement – II : f(2009) = 2009. 1) only I ATION M %3D 2) only II 1) f(x)=x|x| 2) f(x)=x³ 3) Both I & II 4) Neither I nor II TTX 3) f(x)=x² 4) f(x)= sin 74. If f(x) is a real function defined on [-1,1], then the real function g(x) = f(5x+4) s defined on the 1 81. If f:R-{0}→R is defined by f(x)=x+- interval and if p* (x)=[S (x)]* for then * (x)-f(x*)– 4f² (x) = (AP Eamcet 2017) 1) [-4, 9] 2) [-1,9] 3) [-2,9] 4) [-3,9] k 21 75. If f:N→R is defined by f(1)=1 and f(n+1)= 3f(n)-2 for n>1 , then f is 1) -2 2) 2 3) 1 4) -1 1) one-one 2) onto 4) f(n)>0 forn>1 82. Let A={-4,–2,–1,0,3,5} and f:A→R be de- 3) a constant function 3x-1 for x> 3 76. If f:R-→ R,g;R→R are defined by f(x)= 5x-3, g(x) = x²+ 3, then (gof') (3) = .2 f(x) ={x +1 for -3<x<3 %3D fined by hen 2x-3 for x<-3 25 4) 111 25 111 9. 1) 9. 2) 25 3) 25 Then the range of f is (AP Eamcet 2017) 1) {-11,–7,2,1,8,14} 2) {-11,5,2,1,8,14} 3) {-11,5,2,1,10,14} 4) {-11,-7,-5,1,10,14} TC 77. If A=XERI <xs 4. and f(x) = sin x-x, 3. then f(A)= RD AKASH FAST TRACK CRD 7.