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If the functions f(x)a n dg(x) are defin...

If the functions `f(x)a n dg(x)` are defined on `RvecR` such that `f(x)={0, x in r a t ion a l x ,x in i r r a t ion a l` `a n dg(x)={O , x in i r r a t ion a l x ,x in r a t ion a l` then `(f-g)(x)i s` one-one and onto neither one-one nor onto one-one but not onto onto but not one-one

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If the functions f(x)a n dg(x) are defined on R rarr R such that f(x)={0, x in r a t ion a l x ,x in i r r a t ion a l a n dg(x)={O , x in i r r a t ion a l x ,x in r a t ion a l then (f-g)(x)i s (a)one-one and onto (b)neither one-one nor onto (c)one-one but not onto (d)onto but not one-one

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The function f : R rarr [ -1,1 ] defined by f(x) = cos x is (a) both one-one and onto (b) not one-one, but onto (c) one-one, but not onto (d) neither one-one, nor onto

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RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. Let f(x)=cot^(-1)(x^2+4x+alpha^2-3alpha) be a function defined on R->(...

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  2. A natural number x is chosen at random from the first one hundred natu...

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  3. If the functions f(x)a n dg(x) are defined on RvecR such that f(x)={0,...

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  4. If the fourth term in the expansion of {sqrt(1/("""x^log(x+1)"}'+1/(x^...

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  5. If H is the othrocenter of an acute angled triangle ABC whose circumci...

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  6. Let vec a=2 hat i-3 hat j, vec b= hat i+ hat j- hat k and hat c=3 ha...

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  7. The chord of contact of a point P w.r.t a hyperbola and its auxiliary ...

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  8. Distance between line r=i+j+k+lambda(2i+j+4k) and plane rdot(i+2j-k)=3...

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  9. An endless inextensible string of length 15 m passes around two pins, ...

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  10. The direction cosines of the lines bisecting the angle between the lin...

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  11. If f(x) is identity function, g(x) is absolute value function and h(...

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  12. Consider two curves C1: y^2=4[sqrt(y)]x a n dC2: x^2=4[sqrt(x)]y , whe...

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  13. In a DeltaABC if /A=/B=1/2(sin^(-1)((sqrt(6)+1)/(2sqrt(3)))+sin^(-1)(...

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  14. The distance of the point (1, 2, 3) from the plane x+y-z=5 measured al...

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  15. if alpha, beta, gamma are the roots of equation x^3-x-1=0 , then (1+...

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  16. Let f(x) be a non constant twice differentiable function defined on (-...

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  17. The function f: R->R defined by f(x)=2^x+2^(|x|) is (a) one-one and on...

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  18. Let set S consists of all points (x ,y) satisfying 9x^2+16 y^2lt=144. ...

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  19. Let f: PvecQ defined by f(x)=4x-x^2 is a bijective function if P=[2...

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  20. If f(x) and g(x) are two polynomilas such that the polynomial h(x)=xf(...

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