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Let f(x)=ax^(2)+c,a,b,c in R It is giv...

Let `f(x)=ax^(2)+c,a,b,c in R`
It is given `|f(x)le1,AA|x|le1`
Now , answer the following question. The Possible value of `(8)/(3)a^(2) + 2b^(2)` is maximum is given by

A

1

B

0

C

2

D

3

Text Solution

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ARIHANT MATHS-MONOTONICITY MAXIMA AND MINIMA-EXAMPLE
  1. Consider a DeltaOAB formed by the point O(0,0),A(2,0),B(1,sqrt(3)).P(x...

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  2. Consider a DeltaOAB formed by the point O(0,0),A(2,0),B(1,sqrt(3)).P(x...

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  3. Let f(x)=ax^(2)+c,a,b,c in R It is given |f(x)le1,AA|x|le1 Now , a...

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  4. Let f(x)=ax^(2)+c,a,b,c in R It is given |f(x)le1,AA|x|le1 Now , a...

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  5. The absolute maximum and minimum values of functions can be found by t...

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  6. The absolute maximum and minimum values of functions can be found by t...

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  7. Let f(x)={:{(max{t^(3)-t^(2)+t+1,0letlex}",",0lexle1),(min{3-t,1lttlex...

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  8. Let f(x)={:{(max{t^(3)-t^(2)+t+1,0letlex}",",0lexle1),(min{3-t,1lttlex...

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  9. Solve , x/3 - x/8 = 5/12

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  10. Find the value of x , (x - 3)/5 + (x - 4)/7 = 6 - (2x - 1)/(35)

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  11. Solve (2x +3)/3 = (7x + 45)/(15)

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  12. Solve , (x^2 - (x + 1)(x + 2))/(5x + 1) = 6

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  13. Prove that (7! - 5!)/(5!) = 41

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  14. If a function (continuos and twice differentiable) is always concave u...

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  15. Solve 3x + 2(x + 2) = 20 - (2x - 5)

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  16. If f(x)={(1)/(x)}andg(x)={x^(2)}, then the number of positive roots sa...

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  17. Match the Statements of Column I with values of Column II.

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  18. Match the Statements of Column I with values of Column II.

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  19. The set of all points where f(x) is increasing is (a,b)cup(c,oo). Find...

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  20. If f:[1,oo)rarrR:f(x) is monotonic and differentiable function and f(1...

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