ECAT Pre General Science MCQ Test With Answer for Mathematics Chapter 19

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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

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

• a cot(ax + b) + c A
• - a cot(ax + b) + 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

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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

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

• 5x^{4 + c} A
• 1/6 x⁶+ c B
• 5x²+ c C
• 1/5 x⁶+ c D

• - cot 4x + c A
• cot 4x + c B
• tan 4x + c C
• - tan 4x + 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

• 2, 3 A
• 3, 3 B
• 2, 6 C
• 2, 4 D

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  A
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  B
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  C
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  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

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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

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

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

• π A
• π/6 B
• -π/2 C
• 2π 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
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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

∫Sec² (ax + b) dx is equal to:

• tan² (ax + b) A
• 1/a tan² (ax + b) B
• 1/atan (ax +b) C
• tan (ax + b) D

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  A
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  B
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  C
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  D

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

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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