ECAT Pre Engineering MCQ Test With Answer for Chapter 19 Mathematics

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

• 
  A
• 
  B
• 
  C
• 
  D

Which of the following integrals can be evaluated

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

The solution of differential equation:

• dy/dx+y/x = x² is : A
• 4xy = x⁴+ c B
• 4x = x⁴= c C
• 4 y = x⁴+ c D
• 4x=4x³ + c E

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

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

The process of finding a function whose derivative is given is called a

• Differentiation A
• Integration B
• Differential C
• None D

• 
  A
• 
  B
• 
  C
• 
  D

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

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

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

• 32/2 A
• 15 B
• 18 C
• 21 D

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

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

• 
  A
• 
  B
• 
  C
• none of these D

• 
  A
• a^xIn a + c B
• a^x+ c C
• x a^x+ 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

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

• 
  A
• 
  B
• 
  C
• 
  D

∫f(x) is known as:

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

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

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

• 
  A
• 
  B
• 
  C
• 
  D

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

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