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
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  D

• 
  A
• 
  B
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  C
• 
  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

The set of all antiderivaties of f(= ∫f(x)dx) is the

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

The general solution of the differential equation x dy / dx = 1 + y is:

• 2 A
• 1 B
• 3 C
• None D

∫x/Sin² x dx is equal to:

• x cot x + ln|sin⁡x | A
• -x cot x - ln|sin⁡x | B
• x cot x - ln|sin⁡x | C
• x. tan x- ln|sec⁡x | D

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

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  A
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  B
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  C
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  D

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

The integral of 3x⁵dx is:

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

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  A
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  B
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  C
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  D

• 2x + 3 A
• x²+ 3 + c 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
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  D

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

The number of arbitrary constants in the general solution of a differential equation is equal to the different equation

• Order A
• Degree B
• Variables C
• All are correct D

• (x³- 3x²)⁸+ c A
• 
  B
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  C
• 3x²- 6x + c D

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

• 1 A
• 2 B
• 3 C
• 4 D

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  A
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  B
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  C
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  D

The function ø(x) is ananti derivativeof function f (x),x∈Df if

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

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