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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• none of these D

• 
  A
• 
  B
• 
  C
• 
  D

The number of values of x in the interval [0, 5π] satisfying the equation 3 sin²x - 7 sinx + 2 = 0 is

• 0 A
• 5 B
• 6 C
• 10 D

• 7 A
• 5 B
• 6 C
• None of these D

General solution of 1 + cos x = 0 is

• 
  A
• 
  B
• 
  C
• 
  D

• 30° A
• 45° B
• 60° C
• 75° D

• 
  A
• 
  B
• 
  C
• all D

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  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

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

The general solution of tan 3x = 1 is

• 
  A
• 
  B
• 
  C
• 
  D

cotθ= sin 2θifθ=

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  D

If 4 sin²θ=1, then values ofθare

• 
  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

• 1 A
• 2 B
• 3 C
• None of these D

• 
  A
• 
  B
• 
  C
• none of these 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

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
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  D

If sin 6θ+ sin 4θ+ sin 2θ, thenθ=

• 
  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