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11th Standard English Medium Maths Subject Differentiability and Methods of Differentiation Creative 1 Mark Questions with Solution Part - I

11th Standard

    Reg.No. :
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Maths

Time : 01:00:00 Hrs
Total Marks : 5

    1 Marks

    5 x 1 = 5
  1.  Choose the correct or the most suitable answer from the given four alternatives.
    If \(y=\sin ^{ -1 }{ x } +\cos ^{ -1 }{ x } \) then \(\frac { dy }{ dx } \) is _____

    (a)

    1

    (b)

    \(\pi \)

    (c)

    \(\frac { \pi }{ 2 } \)

    (d)

    0

  2. Choose the correct or the most suitable answer from the given four alternatives.
    If \(y=\sqrt { \sin { x+y } } \quad then\quad \frac { dy }{ dx }\) is _________

    (a)

    \(\frac { \sin { x } }{ 2y-1 } \)

    (b)

    \(\frac { \sin { x } }{ 1-2y } \)

    (c)

    \(\frac { \cos { x } }{ 1-2y } \)

    (d)

    \(\frac { \cos { x } }{ 2y-1 } \)

  3. Choose the correct or the most suitable answer from the given four alternatives.
    If f(x) is an even functions, thenf'(x) is an ______function

    (a)

    even

    (b)

    odd

    (c)

    even and odd

    (d)

    even or odd

  4. Choose the correct or the most suitable answer from the given four alternatives.
    If \(x=a(\theta+\sin \theta), y=a(1+\cos \theta)\) then \(\frac{dy}{dx}\) is ______

    (a)

    \(\tan { \frac { \theta }{ 2 } } \)

    (b)

    \(-\tan { \frac { \theta }{ 2 } } \)

    (c)

    \(\cot { \frac { \theta }{ 2 } } \)

    (d)

    \(-\cot { \frac { \theta }{ 2 } } \)

  5. Assertion (A) : f (x) =\(\begin{cases} \begin{matrix} x+1, & x<2 \end{matrix} \\ \begin{matrix} 2x-1, & x\ge 2 \end{matrix} \end{cases}\) then f'(2) does not exist.
    Reason (R) : f(x) is not continuous at 2.

    (a)

    Both A and it are true and R is the correct explanation of A

    (b)

    Both A and R are true but R is not the correct explantion of A

    (c)

    A is true R is false

    (d)

    A is false R is true

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