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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

f(x)={(x", if x is rational"),(0", if x is irrational"):}, g(x)={(0", if x is rational"),(x", if x is irrational"):} Then, f-g is (A) one-one and onto (B) one-one but nor onto (C) onto but not one-one (D) neither one-one nor onto

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RESONANCE DPP-JEE MAINS-All Questions
  1. If the lines (x+4)/3=(y+6)/5=(z-1)/(-2) and 3x-2y+z+5=0=2x+3y+4z-k a...

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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 of (sqrt(x^(1/(1+(log)(10)x))+root(12)x))^6 is equ...

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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)=...

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  9. The direction cosines of a line bisecting the angle between two per...

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

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

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  12. In a A B C , if /A=/B=1/2(sin^(-1)((sqrt(6)+1)/(2sqrt(3)))+sin^(-1)1/...

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

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

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

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  16. The function y=x/(1+|x|): RvecR is one-one (b) onto (c) odd (d) ...

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  17. If f(x) and g(x) are two polynomials such that the polynomial h(x)=x...

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  18. Which of the following is true? pi/3>tan^(-1)pi/3 (b) pi/3<tan^(-1)pi...

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  19. Two sides of a triangle are (a + b) x + (a-b)y-2ab = 0 and (a-b)x + (a...

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  20. The equation of the plane which is equally inclined to the lines (x...

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