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Let f: R->R be given by f(x)=[x]^2+[x+1]...

Let `f: R->R` be given by `f(x)=[x]^2+[x+1]-3` , where `[x]` denotes the greatest integer less than or equal to `x` . Then, `f(x)` is (a) many-one and onto (b) many-one and into (c) one-one and into (d) one-one and onto

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RESONANCE DPP ENGLISH-JEE MAINS-All Questions
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  2. Which of the following are true for the inequation (x-1)(x-2)(x-4)(x-9...

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  3. Let f: R->R be given by f(x)=[x]^2+[x+1]-3 , where [x] denotes the gre...

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  4. Complete solution set of the inequation (x^2-1)(x^2-6x+8)geq0 is (a) ...

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  7. If f(x)=2 tan 3x+5sqrt(1-cos 6x) ; g(x) is a function having the same...

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  12. If t a n y=(2^x)/(1+2^(2x+1)),t h e n(dy)/(dx) at x=0 is

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  13. The least value of x satisfying the equation 2^(|x+1|)-2^x=|2^x-1|+1...

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  15. Let a and b be the number of solutions and sum of solutions of (2x)/(x...

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  16. If xcosy+ycosx=pi then the value of y' '(0) is equal to pi (b) -pi (...

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  17. The simultaneous equations, y=x+2|x| & y=4+x-|x| have the solution se...

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  18. If f''(x)=-f(x) and g(x)=f^(prime)(x) and F(x)=(f(x/2))^2+(g(x/2))^2 a...

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  19. Minimum vlaue of |x-p| + |x-15| +|x-p-15|. If p le x le 15 and 0 lt p ...

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  20. if sqrt(x^2+y^2)=e^t where t=sin^-1 (y/sqrt(x^2+y^2)) then (dy)/(dx) i...

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