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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. 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`

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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. 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

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. 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. 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. 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: 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. If A+B+C=pi, then Statement 1: cos^2A+cos^2B+cos^2C has its minimum value 3/4dot Statement 2: Maximum value of cosAcosBcosC is 1/8

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.

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CENGAGE PUBLICATION-RELATIONS AND FUNCTIONS-All Questions
  1. Each question has four choices, a,b,c and d,out of which only one is ...

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  2. Show that any function can be expressed as the sum of an odd function ...

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

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  5. Let f(x)=log2 log3log4log5(sin x+a^2). Find the set of values of a for...

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  6. Let f(x)={x^2-4x+3, ,x<3; x-4,xgeq3 a n d g(x)={x-3,x<4; x^2...

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  7. If fa n dg are two distinct linear functions defined on R such that th...

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  8. Let f(x)=x^2-2x ,x in R ,a n dg(x)=f(f(x)-1)+f(5-f(x))dot Show that ...

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  9. Let f:XtoY be a function defined by f(x)=asin(x+pi/4)+bcosx+c. If f is...

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  10. If f is polynomial function satisfying 2+f(x)f(y)=f(x)+f(y)+f(x y)AAx ...

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  11. Let R="{"x , y")": x , y in R ,x^2+y^2lt=25}andR^(prime)={(x , y): x ...

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  12. A certain polynomial P(x)x in R when divided by x-a ,x-ba n dx-c le...

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  13. The period of the function f(x)=[6x+7]+cospix-6x , where [dot] denotes...

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  14. If the graph of the function f(x)=(a^x-1)/(x^n(a^x+1)) is symmetric ab...

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  15. The solution set for [x]{x}=1 (where {x} and [x] are respectively, fr...

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  16. Let f: RvecR be a continuous and differentiable function such that (f(...

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  17. The possible values of a such that the equation x^2+2a x+a=sqrt(a^2+x-...

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  18. Let g(x)=f(x)-1. If f(x)+f(1-x)=2AAx in R , then g(x) is symmetrical ...

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  19. Domain (D) and range (R) of f(x)=sin^(-1)(cos^(-1)[x]), where [.] den...

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  20. If f(x+1)+f(x-1)=2f(x) and f(0)=0, then find f(n),n in N , is

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