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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: `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.

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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. 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 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. 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)

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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. 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. 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. ln (cotA/2+cotB/2+cotC/2) =lncotA/2+lncotB/2+lncotC/2dot

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: 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: 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. 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. If f: R->R is an odd function such that f(1+x)=1+f(x)and x^2f(1/x)...

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  2. Find the domain of the function : f(x)=sin^(-1)((log)2x)

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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: R^+ ->R be a function which satisfies f(x)dotf(y)=f(x y)+2(1/x...

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  5. Find Domain of the following function : f(x)=log(x-4)(x^2-11x+24)

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  6. If g:[-2,2]rarrR , where f(x)=x^3+tanx+[(x^2+1)/P] is an odd functio...

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  7. A continuous function f(x)onR->R satisfies the relation f(x)+f(2x+y)+5...

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  8. Find the range of the following function f(x)=log2"((sinx-cosx+3sqrt2...

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  9. Prove that f(x)gi v e nb yf(x+y)=f(x)+f(y)AAx in R is an odd function...

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  10. If f(x)=sin([x]pi)/(x^2+x+1)where [.] denotes the greatest integer fu...

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  11. Find the value of x in [-pi,pi] for which f(x)=sqrt((log)2(4sin^2x-2s...

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  12. If f(x+y)=f(x)dotf(y) for all real x , ya n df(0)!=0, then prove that ...

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  13. Let f(x) be defined for all x > 0 and be continuous. Let f(x) satisfie...

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  14. Find the domain of f(x)=sqrt(x-4-2sqrt((x-5)))-sqrt(x-4+2sqrt((x-5)))

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  15. Let f(x) be periodic and k be a positive real number such that f(x+k)+...

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  16. Find the domain of the following functions: f(x)=(x-3)/((x+3)sqrt(x^2-...

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  17. Let S be the set of all triangles and R^+ be the set of positive real ...

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  18. Check whether the function defined by f(x+lambda)=1+sqrt(2f(x)-f^2(x))...

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  19. Solve (x-1)^2(x+4)<0

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  20. If f(x)={x ,x is rational 1-x ,x is irrational ,then f(f(x)) is

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