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f:RrarrR be twice differentiable functio...

`f:RrarrR` be twice differentiable function satisfying
`f^(")(x)-5f^(')(x)+6f(x)ge0AAxge0` if `f(0)=1`
`f^(')(0)=0`. If `f(x)` satisfies `f(x),f(x)geae^(bx)-be^(ax), Aaxge0`, then find `(a+b)`

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RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. Make the following expressions free from modulus sign: (x in R) |x^2...

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  2. The range of values of lambda for which the circles x^(2)+y^(2)=4 and ...

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  3. f:RrarrR be twice differentiable function satisfying f^(")(x)-5f^(')...

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  4. Make the following expressions free from modulus sign : (x in R) (...

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  5. Let f:RtoR be a differentiable function such that f(x)=x^(2)+int(0)^(x...

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  6. let |{:(1+x,x,x^(2)),(x,1+x,x^(2)),(x^(2),x,1+x):}|=(1)/(6)(x-alpha(1)...

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  7. The sum of first p -terms of a sequence is p(p+1)(p+2)dot the 10th ter...

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  8. Lines whose equation are (x-3)/(2)=(y-2)/(3)=(z-1)/(lamda) and (x-2)/(...

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  9. The solution set of the inequation 3^(72)(1/3)^x(1/3)^(sqrt(x))>1 is [...

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  10. If the curves C1 : y= (In x)/x and C2 : y=lambdax^2 (where lambda is c...

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  11. A die is rolled and showing any number is directly proportional to tha...

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  12. If A=[{:(1,-1,1),(0,2,-3),(2,1,0):}] and B=(adjA) and C=5A, then find ...

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  13. If the roots of the equation (x^2-b x)/(a x-c)=(m-1)/(m+1) are equal ...

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  14. Find the value of a for which the sum of the squares of the roots of t...

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  15. Lines whose equation are (x-3)/(2)=(y-2)/(3)=(z-1)/(lamda) and (x-2)/(...

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  16. Let f(x)a n dg(x) be differentiable functions such that f^(prime)(x)g(...

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  17. Let f(x)= 4x^(2) - 4ax + a^(2) - 2a + 2 such that minimum value fo the...

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  18. Suppose that E1 and E2 are two events of a random experiment such that...

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  19. If 1/3(log)3M+3(log)3N=1+(log)(0. 008)5, then

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  20. Consider a quadratic equation az^(2)bz+c=0, where a,b and c are comple...

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