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

• 2, 3 A
• 3, 3 B
• 2, 6 C
• 2, 4 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

• y + 1 = Ae^x A
• y + 1 = Axe^x B
• xe^x = C C
• y + xe^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

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  A
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  B
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  C
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  D

• A variable A
• A constant B
• 0 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
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  B
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  C
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  D

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  A
• sin 2x + c B
• -sin 2x + c 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
• a f(x) + c B
• f(x) + a C
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  D

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

∛8.6 is approximately equal to

• 2.488 A
• 2.48 B
• 2.0488 C
• 2.05 D

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  A
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  B
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  C
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  D

Which of the following integrals can be evaluated

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  A
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  B
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  C
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  D

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

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  A
• 
  B
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  C
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  D

An equation in which at least one term contains dy/dx, d² y /dx²etc, is called.

• Differential equation A
• Initial condition B
• General solution C
• Singular equation D

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  A
• 
  B
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  C
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  D

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

The approximate increase in the area of a circular disc if its diameter increased form 44cm to 44.4cm is

• 0.4cm A
• 8.8πcm B
• 17.6 πcm C
• 35.2πcm D

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

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  A
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  B
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  C
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  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

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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