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Let F(x) =1+f(x)+(f(x))^(2)+(f(x))^(3), ...

`Let F(x) =1+f(x)+(f(x))^(2)+(f(x))^(3),` where f(x) is an increasing differentiable function and F(x)=0 has a positive root, then

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RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. Prove the following identities: (1-sintheta)/(1+sintheta)= (sectheta...

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  2. In given figure vec A B=3 hat i- hat j , vec A C=2 hat i+3 hat j and ...

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  3. Let F(x) =1+f(x)+(f(x))^(2)+(f(x))^(3), where f(x) is an increasing di...

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  4. The solution set of the inequality max {1-x^2,|x - 1|}<1 then

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  5. If [.] denotes greatest integer function and x in (0,20), then the num...

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

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  7. ABC is an isosceles triangle inscribed in a circle of radius rdot If A...

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  8. If f(x)=a x^2+b x+a^2+b^2+c^2-a b-b c-c a ,w h e r ea ,b ,c are distin...

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  9. If f(x)={-(cos^2pix)/2,0lt=x<1(1-x)^2,0lt=xlt=2 the number of values o...

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  10. Consider the series 2016. n+2015.(n-1)+2014.(n-2)+2013.(n-3)+ , where ...

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  11. If Sn=1^2+(1^2+2^2)+(1^2+2^2+3^2)+ upto n terms, then Sn=(n(n+1)^2(n+2...

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  12. Tangent lines are drawn at the points P and Q where f''(x) vanishes f...

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  13. Match the following Consider the parabola f(x)=x^2+k x+4 Column I ...

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  14. If a^(2)x^(4)b^(2)y^(4)=c^(6)(a,b,x,y,cgt0) then the maximum value of ...

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  15. Let y=f(x) satisfies the equation f(x) = (e^(-x)+e^(x))cosx-2x+int(0...

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  16. The point on the curve x y^2=1 nearest to origin is. {Determine the co...

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  17. There are 50 machines in a factory each producing 1000 bolts daily....

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  18. Given that n arithmetic means are inserted between two sets of numbers...

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  19. The greatest value of the function f(x)=(sin2x)/(sin(x+pi/4)) on the i...

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  20. If a,b,and c are three terms of an A.P such that a != b then (b-c)/...

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