ECAT Pre Engineering MCQ Test With Answer for Chapter 19 Mathematics

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

∫f(x) is known as:

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

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

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

• 
  A
• tan 3x + c B
• cot 3x + c C
• - cot 3x + c D

The differential equation of all st. lines which are at a constant distance to form the origin is

• 
  A
• 
  B
• 
  C
• 
  D

• cos 2x + c A
• - cos 2x + c B
• tan 2x + c C
• cot 2x + c D

• 
  A
• 
  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

If the lower limit of an integral is a constant and the upper limit is a variable, then the integral is a

• Constant function A
• Variable value B
• Function of upper limit C
• All D

• - cot 4x + c A
• cot 4x + c B
• tan 4x + c C
• - tan 4x + c D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  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

• 
  A
• 
  B
• 
  C
• 
  D

• 5x^{4 + c} A
• 1/6 x⁶+ c B
• 5x²+ c C
• 1/5 x⁶+ c D

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

f(x)g(x)- ∫g(x) f′(x) dx is equal to

• ∫f(x)g′(x)dx A
• ∫f′(x)g(x)dx B
• ∫f′(x)g(x)′dx C
• ∫f(x)g(x)dx D

• 
  A
• 
  B
• 
  C
• 
  D

• 1 + tan²x + c A
• tan x + c B
• -tan x + c C
• cot x + c D

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  D

• π A
• π/6 B
• -π/2 C
• 2π D

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