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Let f(x)a n dg(x) be two continuous func...

Let `f(x)a n dg(x)` be two continuous functions defined from `RvecR` , such that `f(x_1)` > `f(x_2)` and `g(x_1)` < `g(x_2)` `for all` `x_1`>`x_2` `dot` Then what is the solution set of `f(g(alpha^2-2alpha)` > `f(g(3alpha-4))`

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RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. Let f be differentiable for all x , If f(1)=-2a n df^(prime)(x)geq2 fo...

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  2. If f1(x)=x ,f2(x)=1-x ,f3(x)=1/x ,f4(x)=1/(1-x),f5(x)=x/(x-x),f5(x)=x/...

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  3. Let f(x)a n dg(x) be two continuous functions defined from RvecR , suc...

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  4. If int((x-1)dx)/(x^(2)sqrt(2x^(2)-2x+1))=sqrt(f(x))/(g(x))+C, where f(...

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  5. If vec a , vec b , vec c are unit vector, prove that | vec a- vec b|^...

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  6. Let lambda=int0^1(dx)/(1+x^3),p=(lim)(n-&gt;oo)[(prod(r=1)^n(n^3+r^3)...

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  7. For f(x)=sin^2x ,x in (0,pi) point of inflection is: pi/6 (b) (2pi)/4...

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  8. If z and bar z represent adjacent vertices of a regular polygon of n s...

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  9. If z=((1+isqrt(3))^2)/(4i(1-isqrt(3)))i sacom p l e xnu m b e r ,t h e...

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  10. If vec a+2"" vec b+3"" vec c="" vec0 and |"" vec a|=6,|"" vec b|=3a n...

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  11. Function f(x)=sin(lnx)-"cos"(lnx) is (a)M.I. in [e^(2npipi/4),e^(2np...

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  12. tan(sec^(-1) (1/x))=sin(cos^(-1) (1/sqrt(5)))

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  13. Let : f(x)={(sina x^2)/(x^2),x!=0 3/4+1/(4a),x=0 for what values of a...

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  14. The value of sin(pi/3-sin^(-1)(4/5)) is (a) (3sqrt(3)-4)/(10) (b) (3...

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  15. "lim"(x->0)(ln(t a n(pi/4+a x)))/(sinb x),b!=0 is equal to (a)a/b (b...

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  16. IfAn=int0^(pi/2)(sin(2n-1)x)/(sinx)dx ,bn=int0^(pi/2)((sinn x)/(sinx))...

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  17. Which of the following functions is periodic (a) cos^2x+sinx^3+"tan"...

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  18. The number of values of k for which the system of the equations (k+1)x...

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  19. Projection of line (x+1)/2+(y+1)/(-1)=(z+3)/4 on the plane x+2y+z=6; h...

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  20. Evaluate underset(xto0)lim(sin[cosx])/(1+[cosx]) ([.] denotes the grea...

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