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If f(x)=x^3+2x^2+3x+4 and g(x) is the in...

If `f(x)=x^3+2x^2+3x+4` and `g(x)` is the inverse of `f(x)` then `g^(prime)(4)` is equal to- `1/4` (b) 0 (c) `1/3` (d) 4

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RESONANCE DPP-JEE MAINS-All Questions
  1. The focal distance of the point (9,6) on the parabola y^(2)=4x is

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  2. The negation of the compound proposition p vv ( ~ p vv q) is

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  3. If f(x)=x^3+2x^2+3x+4 and g(x) is the inverse of f(x) then g^(prime)(4...

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  4. The probability that at least one of the events Aa n dB occurs is 0.6...

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  5. If A=1/3{:[(1,2,2),(2,1,-2),(a,2,b)]:} is an orthogonal matrix, then

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  6. If a circle of constant radius 3k passes through the origin O and me...

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  7. The coefficient of x^3 in the expansion of 3/((1+3x)^3)i s

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  8. If the equation ax^2+2bx+c=0 and ax62+2cx+b=0 b!=c have a common root ...

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  9. Normal drawn at P(t), having negative ordinate, to parabola y^2=16 x m...

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  10. A chess game between two grandmasters X and Y is won by whoever first ...

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  11. The graph of the function y=16x^2+8(a+5)x-7a-5 is strictly above the x...

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  12. Find the values of a and b such that the function defined by f(x)=...

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  13. In a geometric progression with common ratio q, the sum of the firs...

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  14. In a set of real numbers a relation R is defined as xRy such that |x|+...

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  15. "If" I=int0^x(t^2dt)/((x-sinx)sqrt(a+t))a n d(lim)(xvec0)I=1, then ...

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  16. The value of int5^(10)(sqrt(x+sqrt(20 x-100))+sqrt(x-sqrt(20 x-100)))...

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  17. The value of int(-2)^1([x]+|x-3|)dx is (where [.] denotes greatest int...

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  18. If z1,z2,z3,z4 be the vertices of a quadrilaterla taken in order such ...

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  19. 2sin^(2)theta + 3 costheta =0

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  20. int(dx)/((1+x)sqrt(1+x-x^2)) dx

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