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Each question has four choices, a,b,c an...

Each question has four choices, a,b,c and d,out of which only one is correct. Each question contains STATEMENT 1 and STATEMENT 2. if both the statements are true and statement 2 is the correct explanation of statement 1. If both the statements are true but statement 2 is not the correct explanation of statement 1. If statement is True and statement2 is false. If statement1 is false and statement2 is true. Statement 1: If `x in [1,sqrt(3)],` then the range of `f(x)=tan^(-1)x` is `[pi/4,pi/3]` Statement 2 : If `x in [a , b],` then the range of `f(x)i s[f(a),f(b)]dot`

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Each question has four choices, a,b,c and d,out of which only one is correct. Each question contains STATEMENT 1 and STATEMENT 2. if both the statements are true and statement 2 is the correct explanation of statement 1. If both the statements are true but statement 2 is not the correct explanation of statement 1. If statement is True and statement2 is false. If statement1 is false and statement2 is true. Statement 1: f: N->R ,f(x)=sinx is a one-one function. Statement 2: The period of sinx i s 2pia n d2pi is an irrational number.

Each question has four choices, a,b,c and d,out of which only one is correct. Each question contains STATEMENT 1 and STATEMENT 2. a) if both the statements are true and statement 2 is the correct explanation of statement 1. b) If both the statements are true but statement 2 is not the correct explanation of statement 1. c) If statement is True and statement2 is false. d) If statement1 is false and statement2 is true. Statement 1: f(x)=(log)_ex cannot be expressed as the sum of odd and even function. Statement 2 : f(x)=(log)_e x in neither odd nor even function.

Each question has four choices, a,b,c and d,out of which only one is correct. Each question contains STATEMENT 1 and STATEMENT 2. if both the statements are true and statement 2 is the correct explanation of statement 1. If both the statements are true but statement 2 is not the correct explanation of statement 1. If statement is True and statement 2 is false. If statement1 is false and statement2 is true. Statement 1 : If g(x)=f(x)-1,f(x)+f(1-x)=2AA x in R , then g(x) is symmetrical about the point (1/2,0)dot Statement 2 : If g(a-x)=-g(a+x)AAx in R , then g(x) is symmetrical about the point (a ,0)

Each question has four choices, a,b,c and d,out of which only one is correct. Each question contains STATEMENT 1 and STATEMENT 2. if both the statements are true and statement 2 is the correct explanation of statement 1. If both the statements are true but statement 2 is not the correct explanation of statement 1. If statement is True and statement2 is false. If statement1 is false and statement2 is true. Consider the function satisfying the relation if f((2tanx)/(1+tan^2x))=((1+cos2x)(sec^2x+2tanx)/2) Statement 1: The range of y=f(x)i sRdot Statement 2: Linear function has rang R if domain is Rdot

Each question has four choices a,b,c and d out of which only one is correct. Each question contains Statement 1 and Statement 2. Make your answer as: If both the statements are true and Statement 2 is the correct explanation of statement 1. If both the statements are True but Statement 2 is not the correct explanation of Statement 1. If Statement 1 is True and Statement 2 is False. If Statement 1 is False and Statement 2 is True. Statement 1: tan5^0 is an irrational number Statement 2: tan15^0 is an irrational number.

Each question has four choices a,b,c and d out of which only one is correct. Each question contains Statement 1 and Statement 2. Make your answer as: If both the statements are true and Statement 2 is the correct explanation of statement 1. If both the statements are True but Statement 2 is not the correct explanation of Statement 1. If Statement 1 is True and Statement 2 is False. If Statement 1 is False and Statement 2 is True. Statement 1: The minimum value of 27^(cos2x)81^(sin2x) is 1/(243) Statement 2: The minimum value of acostheta+bsinthetai s-sqrt(a^2+b^2)

Each question has four choices a,b,c and d out of which only one is correct. Each question contains Statement 1 and Statement 2. Make your answer as: If both the statements are true and Statement 2 is the correct explanation of statement 1. If both the statements are True but Statement 2 is not the correct explanation of Statement 1. If Statement 1 is True and Statement 2 is False. If Statement 1 is False and Statement 2 is True. Statement 1: sinpi/(18) is a root of 8x^3-6x+1=0 Statement 2: For any theta in R ,sin3theta=3sintheta-4sin^3theta

Each question has four choices a,b,c and d out of which only one is correct. Each question contains Statement 1 and Statement 2. Make your answer as: a) If both the statements are true and Statement 2 is the correct explanation of statement 1. b) If both the statements are True but Statement 2 is not the correct explanation of Statement 1. c) If Statement 1 is True and Statement 2 is False. d) If Statement 1 is False and Statement 2 is True. Statement 1: If A ,B ,C are the angles of a triangle such that angle A is obtuse, then tanBt a n C > 1. Statement 2: In any triangle, tanA=(tanB+tanC)/(tanBtanC-1)

Each question has four choices a,b,c and d out of which only one is correct. Each question contains Statement 1 and Statement 2. Make your answer as: If both the statements are true and Statement 2 is the correct explanation of statement 1. If both the statements are True but Statement 2 is not the correct explanation of Statement 1. If Statement 1 is True and Statement 2 is False. If Statement 1 is False and Statement 2 is True. Statement 1: The maximum value of sinsqrt(2)x+sina x cannot be 2 (a is positive rational number) Statement 2: (sqrt(2))/a is irrational.

Each question has four choices a,b,c and d out of which only one is correct. Each question contains Statement 1 and Statement 2. Make your answer as: If both the statements are true and Statement 2 is the correct explanation of statement 1. If both the statements are True but Statement 2 is not the correct explanation of Statement 1. If Statement 1 is True and Statement 2 is False. If Statement 1 is False and Statement 2 is True. Statement 1: If in a triangle, sin^2A+sin^2B+sin^2C=2, then one of the angles must be 90 Statement 2: In any triangle, sin^2A+sin^2B+sin^2C=2+2cosAcosBcosC

CENGAGE PUBLICATION-RELATIONS AND FUNCTIONS-All Questions
  1. The domain of f(x)=sqrt(2{x}^2-3{x}+1), where {.} denotes the fraction...

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  2. If g(f(x))=|sinx|a n df(g(x))=(sinsqrt(x))^2 , then a) f(x)=sin^2x ,g...

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  3. Each question has four choices, a,b,c and d,out of which only one is ...

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  4. Let f(n)=1+1/2+1/3++1/ndot Then f(1)+f(2)+f(3)++f(n) is equal to (a)...

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  5. Statement-1 : Solution of (1 + xsqrt(x^2+y^2) ) dx + y (-1 +sqrt(x^2+y...

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  6. If f: R→R ,g(x)=f(x)+3x-1, then the least value of function y=g(|x|) i...

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  7. Let f: R->R be given by f(x)=x^2-3 . Then, f^(-1) is given by (a)sqrt(...

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  8. Let f(x)=(ax + b )/(cx+d). Then the fof (x)=x, provided that : (a!=0,...

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  9. If a function satisfies (x-y) f(x+y)-(x+y) f(x-y) = 2(x^2y - y^3), AA ...

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  10. If f(x)=x^2+x+3/4 and g(x)=x^2+a x+1 be two real functions, then the r...

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  11. A function f (x) is defined for all x in R and satisfies, f(x + y) = f...

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  12. If f(0)=0,f^(prime)(0)=2, then the derivative of y=f(f(f(x))) at x=0 i...

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  13. If domain of f(x) is [1,3] , then the domain of f((log)2(x^2+3x-2))i s...

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  14. If f:R->R is a function satisfying the property f(x+1)+f(x+3) = 2 for ...

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  15. Period of f(x) = sgn([x] +[-x])is equal to (where [.] denotes greatest...

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  16. A function f: R -> R satisfies the equation f(x)f(y)-f(x y)=x+yAAx ,y ...

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  17. (f(x y))^2=x(f(y))^2:f(2)=6 A function f: R+ ? R+ defined as Then f(10...

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  18. Let f(x+1/y) +f(x-1/y) =2f(x) f(1/y) AA x, y in R , y!=0 and f(0)=0 ...

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  19. If a function f: R ->R be such that f(x-f(y)) = f(f(y) )+xf(y)+f(x)...

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  20. If f(x^2-6x+6)+f(x^2-4x+4)=2x ,AA x in R then f(-3) + f(9) -5f(1)= ? ...

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