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    Differentiation MCQ - 4

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    Tanu
    The document contains a 26 question multiple choice quiz on differentiation. The questions cover topics such as finding derivatives of functions, determining the nature of tangents to curves, finding equations of tangents and normals to curves, and determining the points where tangents are parallel or perpendicular to given lines.

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    © All Rights Reserved
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    Differentiation MCQ - 4

    Uploaded by

    Tanu
    517 views3 pages
    The document contains a 26 question multiple choice quiz on differentiation. The questions cover topics such as finding derivatives of functions, determining the nature of tangents to curves, finding equations of tangents and normals to curves, and determining the points where tangents are parallel or perpendicular to given lines.

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    Differentiation Mcq -4

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    The document contains a 26 question multiple choice quiz on differentiation. The questions cover topics such as finding derivatives of functions, determining the nature of tangents to curves, finding equations of tangents and normals to curves, and determining the points where tangents are parallel or perpendicular to given lines.

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd
    Download as pdf or txt
    517 views3 pages

    Differentiation MCQ - 4

    Uploaded by

    Tanu
    The document contains a 26 question multiple choice quiz on differentiation. The questions cover topics such as finding derivatives of functions, determining the nature of tangents to curves, finding equations of tangents and normals to curves, and determining the points where tangents are parallel or perpendicular to given lines.

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd
    Download as pdf or txt
    You are on page 1of 3

    MCQ Series-4

    Applied Mathematics-XII
    (Differentiation)
    M.C.Q.:-
    ( )( √ )
    1. If ( ) then ( )is equal to
    √
    (a) 5 (b) –5 (c) 6 (d)
    2. If √ √
    (a) 1 (b) (c) (d) 0
    √

    3. If

    (a) (b) (c) (d)


    ( )

    4. If ( ) | |
    (a) (b) (c) (d)
    ( )

    5. The curve has at (0, 0)


    (a) A vertical tangent (c) An oblique tangent
    (b) A horizontal tangent (d) No tangent
    6. The equation of the tangent to the curve ( ) ⁄
    (a) (b) (c) (d)
    7. The equation of the tangent to the curve ( ) is
    (a) (b) (c) (d) None of these
    8. The tangent to the curve at (0,1) meets the x-axis at
    (a) (0, 1) (b) ( ) (c) (2, 0) (d) (0, 2)
    9. The tangent to the curve at points (1,1) and (-1,1) are
    (a) Parallel (c) Neither parallel nor at right angles
    (b) At right angles (d) None of these
    10. The point on the curve where the tangent is parallel to the line
    – – is
    (a) (2, 8) (b) (8, 2) (c) (6, 1) (d) (4, 2)
    11. If √ is equal to:
    √
    (a) (c)
    √ ( ) ⁄ √ ( ) ⁄
    (b) (d) None of these
    √ ( ) ⁄
    12. If
    ( ) ( )
    (a) (b) (c) (d)
    ( )

    13. If
    (a) (b) (c) (d)
    14. If
    (a) t (b) (c) (d) None of these
    15. If ( ) ( )
    (a) 100 (b) 99 (c) 98 (d) 97
    16. If ( ) ( )
    √
    (a) (b) (c) (d)
    17. If ( ) ( )
    (a) 2345 (b) 5050 (c) 2030 (d) 4050
    18. If ( ) ( )( )
    (a) 1 (b) 2 (c) 3 (d) 4
    19. For the curve √ √ at the point ( ) is
    (a) 1 (b) 0 (c) (d) 2
    20. The derivative of the function ( ) is
    (a) (c)
    (b) (d)
    21. If x > 0, then the derivative of is
    (a) (b) (c) (d)
    22. If x ≠ 0, then the derivative of | | is
    (a) (b) (c) (d)
    23. The slope of the tangent to the curve at the point whose abscissa
    is 2 is
    (a) 36 (b) (c) √ (d)
    24. Find the equations of the normal to the given curve at the indicated points:
    ( )
    (a) =0 (c) =0
    (b) =0 (d) =0
    25. Find the slope of the normal to curve at the point whose x-
    coordinate is 3.
    (a) (b) (c) (d)
    √ √

    CASE STUDY
    26. The equation of the tangent at point ( ) on the curve
    Base on the above information, answer the following questions:
    (i) The value of a and b are
    (a) (c)
    (b) (d)
    (ii) The points on the given curve where the tangents and parallel to the line
    are
    (a) ( ))( ) (c) ( ) ) ( )
    (b) ( ) ) ( ) (d) ( )( )
    (iii) The equations of tangents to the given curve which are parallel to the line
    are
    (a)
    (b)
    (c)
    (d)
    (iv) The points on the given curve where the tangents are perpendicular to the line
    are
    (a) ( ) ( ) (c) ( ) ( )
    (b) ( ) ( ) (d) ( ) ( )
    (v) The equations of tangents to the given curve which are perpendicular to the line
    are
    (a)
    (b)
    (c)
    (d)

    Answer
    1. A 9. B 17. B 25. A
    2. D 10. A 18. D 26. i. A
    3. A 11. B 19. C ii. B
    4. B 12. D 20. A iii. A
    5. A 13. A 21. B iv. C
    6. B 14. B 22. D v. D
    7. C 15. A 23. D
    8. B 16. D 24. C

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