ECAT Pre General Science MCQ Test With Answer for Mathematics Chapter 19

The approximate increase in the area of a circular disc if its diameter increased form 44cm to 44.4cm is

• 0.4cm A
• 8.8πcm B
• 17.6 πcm C
• 35.2πcm 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

• 
  A
• 
  B
• 
  C
• 
  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
• In(x²- x + 1)⁴+ c B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  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

∫x sin xdx is equal to:

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

• 
  A
• 
  B
• x²+ 2x + c C
• (x²+ 2x -1)⁴+ c D

• 
  A
• 
  B
• 
  C
• 
  D

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

∫sin(ax+b) dx is equal to:

• 1/2a cos (ax + b) A
• -1/a cos (ax +b) B
• 1/a cos (ax +b) C
• 1/a ln (ax + b) D

• 1 A
• 2 B
• 3 C
• 4 D

• a sec(ax + b) + c A
• - a sec(ax + b) + c 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

• 2x + 3 A
• x²+ 3 + c B
• 
  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

• π A
• π/6 B
• -π/2 C
• 2π 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

∫ x cos dx is equal to :

• x cos x + sin x A
• cos x + x sin x B
• x cos x + x sin x C
• x sin x + cos x 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

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• In f(x) + c C
• f(x) - c D

• 
  A
• 
  B
• 
  C
• 
  D

• A variable A
• A constant B
• 0 C
• None of these D