New ! Maths MCQ Practise Tests

12th Standard Maths Differentials and Partial Derivatives English Medium Free Online Test One Mark Questions 2020 - 2021

12th Standard

    Reg.No. :
  •  
  •  
  •  
  •  
  •  
  •  

Maths

Time : 00:10:00 Hrs
Total Marks : 10

    Answer all the questions

    10 x 1 = 10
  1. A circular template has a radius of 10 cm. The measurement of radius has an approximate error of 0.02 cm. Then the percentage error in calculating area of this template is

    (a)

    0.2%

    (b)

    0.4%

    (c)

    0.04%

    (d)

    0.08%

  2. If we measure the side of a cube to be 4 cm with an error of 0.1 cm, then the error in our calculation of the volume is

    (a)

    0.4 cu.cm

    (b)

    0.45 cu.cm

    (c)

    2 cu.cm

    (d)

    4.8 cu.cm

  3. The approximate change in the volume V of a cube of side x metres caused by increasing the side by 1% is

    (a)

    0.3xdx m3

    (b)

    0.03 xm3

    (c)

    0.03.x2 m3

    (d)

    0.03x3m3

  4. If w (x, y, z) = x2 (v - z) + y2 (z - x) + z2(x - y), then \(\frac { { \partial }w }{ \partial x } +\frac { \partial w }{ \partial y } +\frac { \partial w }{ \partial z } \) is

    (a)

    xy + yz + zx

    (b)

    x(y + z)

    (c)

    y(z + x)

    (d)

    0

  5. If y = x4 - 10 and if x changes from 2 to 1.99, the approximate change in y is

    (a)

    -32

    (b)

    -0.32

    (c)

    - 10

    (d)

    10

  6. If f(x, y, z) = sin (xy) + sin (yz) + sin (zx) then fxx is

    (a)

    -y sin (xy) + z2 cos (xz)

    (b)

    y sin (xy) - z2 cos (xz)

    (c)

    y sin (xy) + z2 cos (xz)

    (d)

    -y sin (xy) - z2 cos (xz)

  7. If f (x, y) = x3 + y3 - 3xythen \(\frac { { \partial }f }{ \partial { x } } \) at x = 2,

    (a)

    -15

    (b)

    15

    (c)

    -9

    (d)

    16

  8. The approximate value of (627)\(\frac14\) is ................

    (a)

    5.002

    (b)

    5.003

    (c)

    5.005

    (d)

    5.004

  9. If y = sin x and x changes from \(\frac{\pi}{2}\) to ㅠ the approximate change in y is ..............

    (a)

    0

    (b)

    1

    (c)

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

    (d)

    \(\frac{22}{14}\)

  10. If u = y sin x then \(\frac { { \partial }^{ 2 }u }{ \partial x\partial y } \) = ..........

    (a)

    cos x

    (b)

    cos y

    (c)

    sin x

    (d)

    0

*****************************************

TN 12th Standard Maths free Online practice tests

Reviews & Comments about 12th Standard Maths Differentials and Partial Derivatives English Medium Free Online Test One Mark Questions 2020 - 2021

Write your Comment