ECAT Pre Engineering MCQ Test With Answer for Chapter 19 Mathematics

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

• 
  A
• 
  B
• 
  C
• 
  D

∫f(x) is known as:

• Definite itegral A
• Indefinite integral B
• Fixed integral C
• Multiple integral D

The area bounded by y = x (x2 - 4) and below x - axis is

• 4 A
• 0 B
• -4 C
• 8 D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• x^-2+ c B
• 
  C
• not possible D

If the graph of f is entirely below the x-axis, then the value of definite integral is

• = 0 A
• < 0 B
• > 0 C
• None D

∛8.6 is approximately equal to

• 2.488 A
• 2.48 B
• 2.0488 C
• 2.05 D

• 
  A
• a f(x) + c B
• f(x) + a C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 2, 3 A
• 3, 3 B
• 2, 6 C
• 2, 4 D

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

• cosec x + c A
• -cosec x + c B
• -sec x + c C
• sec x + c D

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

The area between the x-axis and the curve y = x² + 1 from x = 1 to 2 is:

• 15/6 A
• 15/4 B
• 10/4 C
• 10/3 D

The number of arbitrary constants in the general solution of a differential equation is equal to the different equation

• Order A
• Degree B
• Variables C
• All are correct D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

Which of the following integrals can be evaluated

• 
  A
• 
  B
• 
  C
• 
  D

• sec 3x + c A
• - cosec 3x + c B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

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

The general solution of the differential equation x dy / dx = 1 + y is:

• 2 A
• 1 B
• 3 C
• None D

• 
  A
• 
  B
• 
  C
• 
  D