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

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

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

The solution of the equation cos²θ+ sinθ+ 1 = 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

If sin 6θ+ sin 4θ+ sin 2θ, thenθ=

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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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• none of these D

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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

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

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

cotθ= sin 2θifθ=

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  A
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  B
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  C
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  D

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

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  B
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  C
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  D

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  D

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  A
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  B
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  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

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  B
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  C
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  D

If 4 sin²θ=1, then values ofθare

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  A
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  B
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  C
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  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

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

The solution set of trigonometric equation contains

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

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
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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

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

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

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  A
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  B
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  C
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  D

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  B
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  D