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

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  A
• 
  B
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  C
• 
  D

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

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  A
• 
  B
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  C
• 
  D

The solution set of sin x + cos x = 0 is

• 
  A
• 
  B
• 
  C
• 
  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

By expressing sin 125° in terms of trigonometrical ratios, answer will be

• sin 65° = 0.9128 A
• sin 55° = 0.8192 B
• sin 70° = 0.5384 C
• sin 72° = 0.1982 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

If 4 sin²θ=1, then values ofθare

• 
  A
• 
  B
• 
  C
• 
  D

The solution set of trigonometric equation contains

• one element A
• two elements B
• three elements C
• Infinite elements D

The solution set of the equation 1 + Cos x = 0 is __________

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  A
• 
  B
• 
  C
• none of these D

The solution of the equation cos²θ+ sinθ+ 1 = 0 lies in the interval

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  A
• 
  B
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  C
• 
  D

In which quadrant is the solution of the equation sin x + 1 = 0

• I andII quadrants A
• II andIII quadrants B
• III andIVquadrants C
• none of these D

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  A
• 
  B
• 
  C
• 
  D

General solution of tan 5θ= cot 2θis

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  A
• 
  B
• 
  C
• 
  D

The solution of the equation 3 tan²x = 1 is ____________

• 
  A
• 
  B
• 
  C
• none of these D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• all D

• I andII quadrants
  A
• II andIII quadrants B
• II andIVquadrants C
• none of these D

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

• 
  A
• 
  B
• 
  C
• none of these D

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  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• none of these D

The smallest positive root of the equation tan x - x = 0 lies on

• 
  A
• 
  B
• 
  C
• 
  D

If sin 6θ+ sin 4θ+ sin 2θ, thenθ=

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• both a & c D

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

cotθ= sin 2θifθ=

• 
  A
• 
  B
• 
  C
• 
  D