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Arithmetic Mean

61. If x is r...

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61. If x is real then the max value of 5 + 4x - 4xsquare will be equal to A) 5 B) 6 C) 1 D) 2

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x

is real, then the maximum value of

5 + 4 x - 4 x^{2}

will be equal to

If \int \frac{x + 8}{x^{2} + 6 x + 5} d x = a ln (x^{2} + 6 x + 5 ∣ ∣ + b ln (\frac{x + 1}{x + 5} ∣ ∣ + C then the value of ab will be

(x - 2)^{\circ}

(2 x + 5)^{\circ}

are supplementary angles, then the value of

x

Q. Assertion :If

f (x) = m a x . (x^{2} - 4 x + 6, | x - 2 |)

,the greatest value of

f (x)

in the interval

[0, 5]

11

Reason: The largest value of

f (5) = m a x . (11, 3) = 11

a, b, c, d

are the roots of the equation

x^{4} + 2 x^{3} + 3 x^{2} + 4 x + 5 = 0

1 + a^{2} + b^{2} + c^{2} + d^{2}

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