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12th Standard English Medium Maths Subject Differentials and Partial Derivatives Creative 1 Mark Questions with Solution Part - I

12th Standard

    Reg.No. :
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Maths

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

    1 Marks

    5 x 1 = 5
  1. If the radius of the sphere is measured as 9 cm with an error of 0.03 cm, the approximate error in calculating its volume is _____________

    (a)

    9.72 cm3

    (b)

    0.972 cm3

    (c)

    0.972π cm3

    (d)

    9.72π cm3

  2. If u = log (x3 + y3 + z3 - 3xyz) then \(\frac { { \partial }u }{ \partial { x } } +\frac { { \partial }u }{ { \partial y } }+ \frac { { \partial }u }{ \partial z } \) = _____________

    (a)

    \(\frac { 3 }{ x+y+z } \)

    (b)

    x+y+z

    (c)

    \(\frac { -9 }{ { (x+y+z) }^{ 2 } } \)

    (d)

    \(\frac { -9 }{ { (x+y+z) }^{ 2 } } \)

  3. If f(x, y) = 2x2 - 3xy + 5y + 7 then f(0, 0) and f(1, 1) is _____________

    (a)

    7, 11

    (b)

    11, 7

    (c)

    0, 7

    (d)

    1, 0

  4. If x = r cos θ, y = r sin, then \(\frac { \partial r }{ \partial x } \) = ....................

    (a)

    sec θ

    (b)

    sin θ

    (c)

    cos θ

    (d)

    cosec θ

  5. If is a homogeneous function of x and y of degree n, then \(x\frac { { \partial }^{ 2 }u }{ \partial { x }^{ 2 } } +y\frac { { \partial }^{ 2 }u }{ \partial x\partial y } \) = ...... \(\frac { { \partial }u }{ \partial { x } } \)

    (a)

    n

    (b)

    0

    (c)

    1

    (d)

    n - 1

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