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If f(x)=x^5-5x^4+5x^3-10 has local maxim...

If `f(x)=x^5-5x^4+5x^3-10` has local maximum and minimum at `x=p and x=q` , respectively, then `(p , q)=` (a) `(0,1)` (b) (1,3) (c) (1,0) (d) none of these

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RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. If x = (1 ^(2))/(1) =+ (2 ^(2))/( 3) + (3 ^(2))/( 5) +.....+ (1001 ^(2...

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  2. Two numbers are selected randomly from the set S={1,2,3,4,5,6} without...

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  3. If f(x)=x^5-5x^4+5x^3-10 has local maximum and minimum at x=p and x=q ...

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  4. Let f(x) is a cubic polynomial with real coefficients, x in R such tha...

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  5. Let f(x) be a function such that ("lim")(xvec0)(f(x))/x=1 and ("lim...

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  6. Find the shortest distance between the lines (x+2)/(-4) = (y)/(1) = ...

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  7. If the angle between the asymptotes of hyperbola (x^(2))/(a^(2))-(y^(2...

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  8. The lengths of two opposite edges of a tetrahedron of aa n db ; the...

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  9. Let In = int0^(npi) sinx/(1+x) dx n = 1,2,3,4. Arrange I1 , I2, I3,I4 ...

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  10. Number of triplets of a, b & c for which the system of equations, ax -...

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  11. int(-pi/3)^(pi/3) [ sin^5x+ln((1+x)/(1-x))+((e^x-e^(-x))/2)]dx is

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  12. Find the coefficient of x^(50) after simplifying and collecting the li...

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  13. A function is reprersented parametrically by the equations x=(1+t)/(t^...

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  14. A(1, 2) and B(7, 10) are two points. If P(x) is a point such that the ...

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  15. The lines x+y-1=0,(m-1)x+(m^2-7)y-5=0, and (m-2)x+(2m-5)y=0 are a) con...

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  16. The centres of two circles C(1)andC(2) each of unit radius are at a di...

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  17. Consider circles C(1): x^(2) +y^(2) +2x - 2y +p = 0 C(2): x^(2) +y...

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  18. If alpha and beta are the eccentric angles of the extremities of a f...

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  19. The number of values of c such that the straight line y=4x+c touches t...

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  20. Find the equations of the sides of the triangle having (3,-1) as a vtr...

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