ECAT Pre Engineering MCQ Test With Answer for Chapter 19 Mathematics

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  A
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  B
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  C
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  D

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  A
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  B
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  C
• 
  D

• 
  A
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  B
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  C
• 
  D

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

• 32/2 A
• 15 B
• 18 C
• 21 D

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  A
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  B
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  C
• 
  D

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

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

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  A
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  B
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  C
• 
  D

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

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

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  A
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  B
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  C
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  D

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

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

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

• 4 A
• 0 B
• -4 C
• 8 D

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  A
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  B
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  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
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  B
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  C
• 
  D

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  A
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  B
• 
  C
• none of these D

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

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  A
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  B
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  C
• 
  D

• 1 A
• 2 B
• 3 C
• 4 D

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

• 
  A
• 
  B
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  C
• 
  D

The integral of 3x⁵dx is:

• 15 x⁴ A
• x⁶ /2 B
• 1/6x⁵ C
• x⁵ /ln3 D

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

• 
  A
• 
  B
• 
  C
• 
  D

• sec 5x + c A
• - sec 5x + c B
• 
  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

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

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  A
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  B
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  C
• 
  D

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  A
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  B
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  C
• 
  D

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  A
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  B
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  C
• 
  D

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  A
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  B
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  C
• 
  D