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

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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 solution set of sin x + cos x = 0 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

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  A
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  B
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  C
• none of these D

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  A
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  B
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  C
• none of these 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

The solution of the equation 3 tan²x = 1 is ____________

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  A
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  B
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  C
• none of these D

General solution of 1 + cos x = 0 is

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  A
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  B
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  C
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  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
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  D

General solution of tan 5θ= cot 2θis

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  A
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  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

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  A
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  B
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  C
• none of these D

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

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  A
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  B
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  C
• none of these D

cotθ= sin 2θifθ=

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  A
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  B
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  C
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  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

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

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  A
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  B
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  C
• none of these 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

By expressing cos 113° in terms of trigonometrical ratios, answer will be

• − cos 76° = -0.7093 A
• − cos 65° = -0.4258 B
• − cos 67° = -0.3907 C
• − cos 62° = -0.8520 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

• 30° A
• 45° B
• 60° C
• 75° D

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

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

• No solution A
• One real solution B
• More than one real solution 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

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

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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
• none of these D

If sin 6θ+ sin 4θ+ sin 2θ, thenθ=

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  A
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  B
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  C
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  D