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Consider the function f(x)=m x^2+(2m-1)x...

Consider the function `f(x)=m x^2+(2m-1)x+(m-2)` If `f(x)>0AAx in R` then

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RESONANCE DPP-JEE MAINS-All Questions
  1. If f is twice differentiable such that f^('')(x)=-f(x) and f^(prime)...

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  2. Equation (x+2)(x+3)(x+8)(x+12)=4x^2 has (A) four real and distinct roo...

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  3. Consider the function f(x)=m x^2+(2m-1)x+(m-2) If f(x)>0AAx in R the...

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  4. The least integral value of ' a ' for which the graphs y=2a x+1 and y=...

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  5. If the ratio of the roots of the equation, x^2+alphax+alpha+2=0 is equ...

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  6. If y^2=P(x) is a polynomial of degree 3, then 2(d/(dx))(y^3dot(d^2y)...

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  7. Let A=[(1,-1,1),(2,1,-3),(1,1,1)] and B=[(4,2,2),(-5,0,alpha),(1,-2,3)...

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  8. Equation of line B C is 14 x+23 y-40=0 (b) 4x-2y+1=0 4x+2y-1=0 (d) ...

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  9. The equation: (5+2sqrt(6))^x^(2-3)+(5-2sqrt(6))^x^(2-3)=10h a s Four ...

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  10. In a parallelogram as shown in the figure (a != b) : equation of the ...

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  11. The two adjacent one of the diagonals of the parallelogram is along th...

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  12. If (x1, y1)&(x2, y2) are the solutions of the equaltions, (log)(225)(x...

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  13. If g(x) =2f(2x^3-3x^2)+f(6x^2-4x^3-3) AA x in R and f''(x) gt 0 AA x ...

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  14. Sum of roots of equations f(x)=0a n dg(x)=0i s 0 (b) 2(a+d) (c) 1...

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  15. The function f(x)=(4-x^2)/(4x-x^3) discontinuous at only one point di...

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  16. If |O A^(prime)|=|AAprime|=1, then the values of ' m ' for which (g(...

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  17. Comprehension (For Q.No.1 to 3) Let f(x)=x^2+2a x+b ,g(x)=c x^2+2dx+1...

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  18. If 2^x+2^y=2^(x+y), then (dy)/(dx) is equal to -(2^y)/(2^x) (b) 1/(1-...

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  19. All the values of ' a ' for which the quadratic expression a x^2+(a-2...

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  20. If y=x/(a+x/(b+x/(a+oo))),t h e nfin d(dy)/(dx)

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