ECAT Pre General Science MCQ Test With Answer for Mathematics Chapter 16

cotθ= sin 2θifθ=

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  A
• 
  B
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  C
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  D

Considering Cosine Rule of any triangle ABC, possible measures of angle A includes

• Angle A is obtuse A
• Angle A is acute B
• Angle A is right-angle C
• All of above D

• 
  A
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  B
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  C
• 
  D

• No solution A
• One real solution B
• More than one real solution C
• None of these D

• 
  A
• 
  B
• 
  C
• none of these D

In a triangle ABC, if angle A = 72° , angle B = 48° and c = 9 cm then Ĉ is

• 69° A
• 66° B
• 60° C
• 63° D

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  A
• 
  B
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  C
• 
  D

The solution set of the equation 4 cos²x - 3 + 0 is

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  A
• 
  B
• 
  C
• none of these D

The general solution of tan 3x = 1 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

• 30° A
• 45° B
• 60° C
• 75° 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
• 
  D

• 
  A
• 
  B
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  C
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  D

• 
  A
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  B
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  C
• 
  D

• 1 A
• 2 B
• 3 C
• None of these D

Sine rule for a triangle states that

• a/sin A = b/sin B = c/sin C A
• sin A/a = sin B/b = sin C/c B
• a/sin A + b/sin B + c/sin C C
• 2a/sin A = 2b/sin B = 2c/sin C D

For Cosine Rule of any triangle ABC, b²is equal to

• a²- c²+ 2ab cos A A
• a³+ c³- 3ab cos A B
• a²+ c²- 2ac cos B C
• a²- c²4bc cos A D

• A finite non-empty set A
• Null set B
• Both a and b C
• None of these D

• trigonometric equation A
• conditional equation B
• identity C
• None D

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  A
• 
  B
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  C
• 
  D

General solution of tan 5θ= cot 2θis

• 
  A
• 
  B
• 
  C
• 
  D

The number of solution of the equation tan x + sec x = 2 cos x lying in the interval [0, 2π] is

• 0 A
• 1 B
• 2 C
• 3 D

If sin (πcosθ) = cos (πsinθ), then which of the following is correct?

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  A
• 
  B
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  C
• 
  D

• 
  A
• 
  B
• 
  C
• none of these D

• From an empty set A
• 1 B
• 2 C
• >2 D

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  A
• 
  B
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  C
• 
  D

cotθ= sin 2θifθ=

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  A
• 
  B
• 
  C
• 
  D

One root of the equation cos x - x + 1/2 = 0 lies in the interval

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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