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For …………… value of a, function f(x)=sin ...

For …………… value of a, function `f(x)=sin x-cos x - ax+b AA x in R` is a decreasing function.

A

`a ge - sqrt(2)`

B

`a le - sqrt(2)`

C

`a le sqrt(2)`

D

`a ge sqrt(2)`

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The correct Answer is:
D
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KUMAR PRAKASHAN-APPLICATION OF DERIVATIVES -TEXTBOOK BASED MCQS
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  2. The function f(x)=x^(2)f(1)-xf'(2)+f''(3) such that f(0)=2. The equati...

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  3. For …………… value of a, function f(x)=sin x-cos x - ax+b AA x in R is a ...

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  4. Out of the following which statement is true for x in (0,1) ?

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  5. f(x)=int(2-(1)/(1+x^(2))-(1)/(sqrt(1+x^(2))))dx then f is …………

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  6. If f(x)=x^(3)+ax^(2)+bx+5sin^(2)x, AA x in R is an increasing function...

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  7. If the function f(x)=2x^(3)-9ax^(2)+12a^(2)x+1, where a gt 0, attains ...

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  11. p(x)=a(0)+a(1)x^(2)+a(2)x^(4)+…………+a(n)x^(2n) is a polynomial with rea...

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  12. A tangent drawn to the curve x=e^(t)cos t, y=e^(t) sin t at t=(pi)/(4)...

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  13. The approximate value of sin^(-1)(0.51) is ………..

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  18. The diagonal of a suare is increasing at the rate of 0.5 cm/sec. when ...

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