ECAT Pre Engineering MCQ Test With Answer for Chapter 19 Mathematics

• 
  A
• 
  B
• 
  C
• 
  D

The arbitrary constants involving in the solution can be determined by the given conditions. Such conditions are called

• Boundaries A
• Variable separable B
• Initial values C
• None D

• 
  A
• 
  B
• 
  C
• 
  D

The approximate percentage increase in the volume of a cube if the length of its each edge changes from 5 to 5.02 is

• 1.2% A
• 1.5% B
• 0.16% C
• 100.16% D

• 
  A
• 
  B
• 
  C
• 
  D

• cos 3x + c A
• - cos 3x + c B
• 
  C
• 
  D

• 6x - 2 + c A
• x³- x²+ x + c B
• 6x - x²+ c C
• 6x³- x²+ c D

• Always negative A
• Zero B
• Always positive C
• Infinity D

• 
  A
• 
  B
• 
  C
• none of these D

The area between the x-axis the curve y =4x-x2 is :

• 32/2 A
• 15 B
• 18 C
• 21 D

• 
  A
• 
  B
• 
  C
• 
  D

• 4(x³- 3x²)³+ c A
• 3x²- 6x + c B
• 
  C
• 
  D

The differential equations of all conis whose axes coincide with the co-ordinate axis is

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

The area enclosed between the graph y = x² -4x and the x- axis is:

• 20/3 A
• 41/3 B
• 32/3 C
• 25/3 D

• 
  A
• 
  B
• 
  C
• 
  D

The set of all antiderivaties of f(= ∫f(x)dx) is the

• Definite integral A
• Indefinite integral B
• Integral C
• Area D

• 
  A
• 
  B
• 
  C
• 
  D

• (x³- 3x²)⁸+ c A
• 
  B
• 
  C
• 3x²- 6x + c D

• 
  A
• In(x²- x + 1) + c B
• 
  C
• In(2x - 1) + c D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 2x - 3x + c A
• 
  B
• x²- 3x + c C
• 
  D

The differential equation representing the family of curves y = A cos (x + B), where A, B are parameters, is

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• x³- x²+ x + c A
• 6x - 2 + c B
• x³- 2x + c C
• 
  D

• X = 100 sinθ A
• X = 10 sinθ B
• X = 100 secθ C
• None of these D

• a sec(ax + b) + c A
• - a sec(ax + b) + c B
• 
  C
• 
  D