Differential Calculus One Mark Question

11th Standard

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Business Maths

Time : 00:30:00 Hrs
Total Marks : 10
    10 x 1 = 10
  1. If f(x) = x2 - x + 1, then f (x + 1) is

    (a)

    x2

    (b)

    x

    (c)

    1

    (d)

    x2 + x + 1

  2. Let \(f\left( x \right) =\begin{cases} { x }^{ 2 }-4x\quad ifx\ge 2 \\ x+2\quad ifx<2 \end{cases}\), then f(5) is

    (a)

    -1

    (b)

    2

    (c)

    5

    (d)

    7

  3. For \(f\left( x \right) =\begin{cases} { x }^{ 2 }-4x\quad ifx\ge 2 \\ x+2\quad ifx<2 \end{cases}\) then f(0) is

    (a)

    2

    (b)

    5

    (c)

    -1

    (d)

    0

  4. If f(x) = \(\frac{1-x}{1+x}\) then f(-x) is equal to

    (a)

    -f(x)

    (b)

    \(\frac{1}{f(x)}\)

    (c)

    \(\frac{-1}{f(x)}\)

    (d)

    f(x)

  5. The graph of the line y = 3 is

    (a)

    Parallel to x-axis

    (b)

    Parallel to y-axis

    (c)

    Passing through the origin

    (d)

    Perpendicular to x-axis

  6. The graph of y = 2x2 is passing through

    (a)

    (0,0)

    (b)

    (2,1)

    (c)

    (2,0)

    (d)

    (0,2)

  7. The graph of y = ex intersect the y-axis at

    (a)

    (0,0)

    (b)

    (1,0)

    (c)

    (0,1)

    (d)

    (1,1)

  8. The minimum value of the function f(x)= Ixl is

    (a)

    0

    (b)

    -1

    (c)

    +1

    (d)

    \(-\infty \)

  9. Which one of the following functions has the property f (x) = \(f\left( \frac { 1 }{ x } \right) \)

    (a)

    \(f\left( x \right) =\frac { { x }^{ 2 }-1 }{ x } \)

    (b)

    \(f\left( x \right) =\frac { 1-{ x }^{ 2 } }{ x } \)

    (c)

    f(x) = x

    (d)

    \(f\left( x \right) =\frac { { x }^{ 2 }+1 }{ x } \)

  10. If f(x) = 2x and get g(x) = \(\frac{1}{2^x}\) then (fg)(x) is

    (a)

    1

    (b)

    0

    (c)

    4x

    (d)

    \(\frac{1}{4^x}\)

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