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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. If f(x)=sin^2x+sin^2(x+pi/3)+cosxcos(x+pi/3)a n dg(5/4)=1, then (gof)...

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

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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(x)=|x-1|dot Then (a)f(x^2)=(f(x))^2 (b) f(x+y)=f(x)+f(y) (c)f(...

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  5. Let f: RtoR ,f(x)=(x-a)/((x-b)(x-c)),b > c If f is onto, then prove...

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  6. Show that there exists no polynomial f(x) with integral coefficients w...

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  7. Find which of the following functions is even or odd ? f(x)=log((a-x)/...

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  8. Let f(x) be defined on [-2,2] and be given by f(x)={−1;−2≤x≤0} andf(x)...

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  9. The function f satisfies the functional equation 3f(x)+2f((x+59)/(x-1)...

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  10. Let f:[-10, 10]->R ,w h e r ef(x)=sinx+[(x^2)/a], be an odd function. ...

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  11. If a , b are two fixed positive integers such that f(a+x)=b+[b^3+1-3b^...

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  12. Let f(x, y) be a periodic function satisfying the condition f(x, y) = ...

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  13. The domain of the function f(x)=1/(sqrt({sinx}+{sin(pi+x)})) where ...

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  14. Let f: R ->[0,pi/2) be defined by f(x)=tan^(-1)(x^2+x+a)dot Then the s...

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  15. Let f(x)=([a]^2-5[a]+4)x^3-(6{a}^2-5{a}+1)x-(tan)x sin x be an even f...

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  17. If f(x+y)=f(x)+f(y)-x y-1AAx , y in R and f(1)=1, then the number of ...

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  18. If f(x)=(a^x)/(a^x+sqrt(a ,)),(a >0), then find the value of sum(r=1)...

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  19. If f(x) is an invertible function and g(x)=2f(x)+5, then the value of ...

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  20. If the function f:R rarr A is given by f(x)=(e^x-e^(-|x|))/(e^x+e^(|x|...

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