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

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

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RESONANCE DPP-JEE MAINS-All Questions
  1. If [.] and {.} denote greatest and fractional part functions respectiv...

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  2. Prove the trigonometric identities: (1-sintheta)/(1+sintheta)=(secthet...

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

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  4. Consider the inequality max {1-x^2,|x - 1|}<1 then

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  5. The simultaneous equations, y=x+2|x|&amp; y=4+x-|x| have the solution...

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

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  7. 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 disti...

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

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  10. If a^2x^4+b^2y^4=c^6, then the maximum value of x y is (a)(c^2)/(sq...

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

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

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

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

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  15. Least value of |z-2|+|z-4i| is

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  16. Number of solutions of the equation, [y+[y]]=2cosx is: (where y=1//3)[...

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  17. Tangent is drawn at the point (xi ,yi) on the curve y=f(x), which ...

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  18. If (1+2x+3x^2)^(10)=a0+a1x+a2x^2++a(20)x^(20),t h e na1 equals 10 b. 2...

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  19. Let f(x) polynomial of degree 5 with leading coefficient unity such th...

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  20. If a function satisfies (x-y)f(x+y)-(x+y)f(x-y)=2(x^2 y-y^3) AA x, y i...

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