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83. A non-zero function f (x) is symmetr...

83. A non-zero function f (x) is symmetrical about the line `y=x` then the value of `lambda` (constant) such that `f^2(x)=(f^-1(x))^2-lambdaxf(x)f^-1(x)+3x^2f(x)` where all x`in R^+`

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ARIHANT MATHS-FUNCTIONS-Exercise (Single Integer Answer Type Questions)
  1. Let f(x) denotes the number of zeroes in f'(x). If f(m)-f(n)=3, the va...

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  2. If x^2+y x^2=4 then find the xamimum value of (x^3+y^3)/(x+y)

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  3. Let f(n) denotes the square of the sum of the digits of natural numbe...

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  4. If [sinx]+[x/(2pi)]+[(2x)/(5pi)]=(9x)/(10pi), where [*] denotes the gr...

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  5. The number of integral solutions of 1/x+1/y=1/6 " with " x le y " is "...

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  6. If f(x) is a polynominal of degree 4 with leading coefficient '1' sati...

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  7. If a+b = 3- cos 4 theta and a-b =4 sin 2theta, then ab is always less ...

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  8. Let 'n' be the number of elements in the domain set of the function f(...

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  9. If f(x) is a function such that f(x-1)+f(x+1)=sqrt(3)f(x) and f(5)=10,...

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  10. If 2f(x)=f(x y)+f(x/y) for all positive values of x and y,f(1)=0 and f...

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  11. Let f be a function from the set of positive integers to the set of re...

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  12. If f(x)=(x^(4)+x^(2)+1)/(x^(2)-x+1), the value of f(omega^(n)) (where ...

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  13. If f^2(x)*f((1-x)/(1+x))=x^3, [x!=-1,1 and f(x)!=0], then find |[f(-2)...

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  14. An odd function is symmetric about the vertical line x=a ,(a >0),a n d...

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  15. L e t(e^x-e^(-x))/(e^x+e^(-x))=lnsqrt((1+x)/(1-x)),then find x.

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  16. If x is real , the maximum value of (3x^2+9x+17)/(3x^2+9x+7)"i s"

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  17. If f(x) satisfies the relation f(x)+f(x+4)=f(x+2)+f(x+6) for allx , th...

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  18. 83. A non-zero function f (x) is symmetrical about the line y=x then t...

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  19. Let f:R rarr R and f(x)=(3x^(2)+mx+n)/(x^(2)+1). If the range of this ...

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  20. Let f(x)be a monotic ploynomial of degree (2m-1) where m in N Then the...

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