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If f(x)=(|x-1)/(x^2) the f(x) is one-one...

If `f(x)=(|x-1)/(x^2)` the `f(x)` is one-one in `(2,oo)` b. one-one in `(0,1)` c. one-one in `(-oo,0)` d. one-one in (1,2)

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f(x) is a polynomial function, f: R rarr R, such that f(2x)=f'(x)f''(x). f(x) is (A) one-one and onto (B) one-one and into (C) many-one and onto (D) many-one and into

Let f:R->R and g:R->R be two one-one and onto functions such that they are mirror images of each other about the line y=a . If h(x)=f(x)+g(x) , then h(x) is (A) one-one onto (B) one-one into (D) many-one into (C) many-one onto

Let f:R->R and g:R->R be two one-one and onto functions such that they are mirror images of each other about the line y=a . If h(x)=f(x)+g(x) , then h(x) is (A) one-one onto (B) one-one into (C) many-one into (D) many-one onto

If f:[0,oo)->[0,oo) and f(x)=x/(1+x), then f(x) is (a) one-one and onto (b)one-one but not onto (c)onto but not one-one (d)neither on-one nor onto

Let f:[0,5] to [-1,5] , where f(x)={x^2-1,0 then f(x) is : (A) one-one and onto (B) one-one and into (C) many one and onto (D) many one and into

If a function f:[2,\ oo)->R defined by f(x)=(x-1)(x-2)(x-3) is (a) one-one but not onto (b) onto but not one-one (c) both one and onto (d) neither one-one nor onto

Let f: R-> R , be defined as f(x) = e^(x^2)+ cos x , then is (a) one-one and onto (b) one-one and into (c) many-one and onto (d) many-one and into

Let f: R->R be a function defined by f(x)=(x^2-8)/(x^2+2) . Then, f is (a) one-one but not onto (b) one-one and onto (c) onto but not one-one (d) neither one-one nor onto

f: NrarrN, where f(x)=x-(-1)^x . Then f is: (a)one-one and into (b)many-one and into (c)one-one and onto (d)many-one and onto

The function f:[0,3]->[1,29] , defined by f(x)=2x^3−15x^2+36x+1 , is (a) one-one and onto (b) onto but not one-one (c) one-one but not onto (d) neither one-one nor onto

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
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  2. If a hyperbola has one focus at the origin and its eccentricity is sqr...

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  15. The range of the function f(x)=sqrt(1-x^2)/(1+|x|) is

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  16. How many integeral solutions are there to the system of equations x(1)...

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  18. If a ,b , in {1,2,3,4} and ax^2+b x+1=0 has real roots then a.ageqb ...

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  19. If f(x) = x^11 + sin^3(35x) + 111x, then the value of f^(-1)(sin (pi/5...

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  20. Consider the function f defined by f(x)={[0,x=0 or x is irrational],[...

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