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

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

• 
  A
• 
  B
• 
  C
• 
  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

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
• 
  B
• 
  C
• none of these D

The solution of the equation 3 tan²x = 1 is ____________

• 
  A
• 
  B
• 
  C
• none of these D

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  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

cotθ= sin 2θifθ=

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• none of these D

• 
  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

The general solution of tan 3x = 1 is

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• none of these D

• 
  A
• 
  B
• 
  C
• 
  D

The solution set of trigonometric equation contains

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

• 7 A
• 5 B
• 6 C
• None of these D

• 30° A
• 45° B
• 60° C
• 75° D

• 
  A
• 
  B
• 
  C
• none of these D

• 
  A
• 
  B
• 
  C
• 
  D

The number of points of intersection of two curves y = 2 sin x and y = 5x²+ 2x + 3 is

• 0 A
• 1 B
• 2 C
• None of these D

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

• 
  A
• 
  B
• 
  C
• none of these D

cotθ= sin 2θifθ=

• 
  A
• 
  B
• 
  C
• 
  D

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