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The shortest distance of (0,0) from the ...

The shortest distance of `(0,0)` from the curve `y=(e^x+e^(-x))/2` is

A

`1//2`

B

`1//3`

C

2

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
D
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MCGROW HILL PUBLICATION-APPLICATIONS OF DERIVATIVES-Exercise ( LEVEL-1 SINGLE CORRECT ANSWER TYPE QUESTIONS)
  1. All possible value of f(x)=(x+1)^(1/3)-(x-1)^(1/3) on [0,1] is 1 (b) ...

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  2. Let f be a function defined by f(x) = 2x^(2) - log |x|, x ne 0 then

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  3. The shortest distance of (0,0) from the curve y=(e^x+e^(-x))/2 is

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  4. The normal to the circle x^(2) + y^(2) -2x -2y = 0 passing through (2,...

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  5. If f(x ) = x "for" x le 0 =0 "for " x gt 0 then f(x) at x=...

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  6. The value of k so that the equation x^3-12x+k=0 has distinct roots in ...

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  7. Let f(x) = 6x^(4//3) - 3x^(1//3) defined on [-1,1] then

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  8. An equation of tangent line at an inflection point of f(x) = x^(4) - 6...

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  9. The number of real roots of the equation 2x^(3) -3x^(2) + 6x + 6 = 0 i...

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  10. Let f(x) =(x -2) (x^(4) -4x^(3) + 6x^(2) - 4x +1) then value of local ...

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  11. Let f(x) = x^(2) -2|x| + 2, x in [-1//2, 3//2] then

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  12. The function f(x)=|x-1|/x^2 is

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  13. The function f(x)=x^x decreases on the interval (a) (0,\ e) (b) (0,\ ...

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  14. The interval of increase of the function f(x)=x-e^x+tan(2pi//7) is (a)...

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  15. Let f(x) = x^(2) + px +q. The value of(p, q) so that f(1) =3 is an ext...

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  16. The number of inflection points of a function given by a third degree ...

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  17. Let f(x) = 2 tan^(-1)x + "sin"^(-1) (2x)/(1 + x^(2)) then

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  18. If the normal to the curve x^(3) = y^(2) at the point (m^(2), -m^(3)) ...

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  19. Let f(x) =2 sin x + cos 2x (0 le x le 2pi) and g(x) = x + cos x then

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  20. In the interval (0pi//2) the fucntion f(x)= tan^nxcot^n attains

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