ECAT Pre Engineering MCQ Test With Answer for Chapter 19 Mathematics

• 
  A
• 
  B
• 
  C
• 
  D

The area under the curve y = 1/x² between x = 1 and x =4 is:

• -25 A
• 0.75 B
• -0.35 C
• -10 D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• a f(x) + c B
• f(x) + a 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

• e^x+ c A
• e^-x+ c B
• x e^x+ c C
• not possible 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
• In f(x) + c C
• f(x) - c D

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

• 
  A
• 
  B
• 
  C
• 
  D

• π A
• π/6 B
• -π/2 C
• 2π D

Te order of the differential equation of all conics whose axes coincide with the axes of co-ordinates is

• 2 A
• 3 B
• 4 C
• 1 D

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

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  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

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• none of these 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

• - cot 4x + c A
• cot 4x + c B
• tan 4x + c C
• - tan 4x + c 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 set of all antiderivaties of f(= ∫f(x)dx) is the

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

• 
  A
• sin 2x + c B
• -sin 2x + c C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• Y = -x log x -x + c A
• Y = x log x + x B
• Y = x log x - x + c C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D