New ! Maths MCQ Practise Tests

12th Standard Maths Ordinary Differential Equations 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. The order and degree of the differential equation \(\frac { { d }^{ 2 }y }{ { dx }^{ 2 } } +{ \left( \frac { dy }{ dx } \right) }^{ 1/3 }+{ x }^{ 1/4 }=0\)are respectively

    (a)

    2, 3

    (b)

    3, 3

    (c)

    2, 6

    (d)

    2, 4

  2. The differential equation of the family of curves y = Aex + Be−x, where A and B are arbitrary constants is

    (a)

    \(\frac { { d }^{ 2 }y }{ { dx }^{ 2 } } +y=0\)

    (b)

    \(\frac { { d }^{ 2 }y }{ { dx }^{ 2 } } -y=0\)

    (c)

    \(\frac { { d }y }{ { dx } } +y=0\)

    (d)

    \(\frac { { d }y }{ { dx } } -y=0\)

  3. The solution of the differential equation 2x\(\frac{dy}{dx}-y=3\)represents

    (a)

    straight lines

    (b)

    circles

    (c)

    parabola

    (d)

    ellipse

  4. The degree of the differential equation y \(y(x)=1+\frac { dy }{ dx } +\frac { 1 }{ 1.2 } { \left( \frac { dy }{ dx } \right) }^{ 2 }+\frac { 1 }{ 1.2.3 } { \left( \frac { dy }{ dx } \right) }^{ 3 }+....\) is

    (a)

    2

    (b)

    3

    (c)

    1

    (d)

    4

  5. The solution of the differential equation \(\frac { dy }{ dx } +\frac { 1 }{ \sqrt { 1-{ x }^{ 2 } } } =0\)

    (a)

    y + sin-1 x = c

    (b)

    x + sin-1 y = 0

    (c)

    y2+ 2 sin-1 x = c

    (d)

    x2+ 2 sin-1y= c

  6. The number of arbitrary constants in the general solutions of order n and n +1are respectively

    (a)

    n-1,n

    (b)

    n,n+1

    (c)

    n+1,n+2

    (d)

    n+1,n

  7. The slope at any point of a curve y = f (x) is given by \(\frac{dy}{dx}=3x^2\) and it passes through (-1,1). Then the equation of the curve is

    (a)

    y=x3+2

    (b)

    y=3x2+4

    (c)

    y=3x4+4

    (d)

    y=3x2+5

  8. The order and degree of the differential equation \({ \left[ \left( \frac { { d }^{ 2 }y }{ { dx }^{ 2 } } \right) +\left( \frac { dy }{ dx } \right) \right] }^{ \frac { 1 }{ 2 } }=\frac { { d }^{ 3 }y }{ { dx }^{ 3 } } \)are

    (a)

    1,2

    (b)

    2,1

    (c)

    3,2

    (d)

    2,3

  9. The solution of sec2x tan y dx+sec2y tan x dy=0 is

    (a)

    tan x+tan y =c

    (b)

    sec x+sec y=c

    (c)

    tan x tan y=c

    (d)

    sec x-sec y =c

  10. The transformation y=vx reduces \(\\ \\ \\ \frac { dy }{ dx } =\frac { x+y }{ 3x } \)

    (a)

    \(\frac { 3av }{ 4v+1 } =\frac { dx }{ x } \)

    (b)

    \(\frac { 3dv }{ v+1 } =\frac { dx }{ x } \)

    (c)

    \(2x\frac { dv }{ dx } =v\)

    (d)

    \(\frac { 3dv }{ 1-2v } ==\frac { dx }{ x } \)

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

TN 12th Standard Maths free Online practice tests

Reviews & Comments about 12th Standard Maths Ordinary Differential Equations English Medium Free Online Test One Mark Questions 2020 - 2021

Write your Comment