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

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• none of these D

The solution set of trigonometric equation contains

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

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

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• all D

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

• 1 A
• 2 B
• 3 C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

The general value ofθsatisfying the equation 2 sin²θ- 3 sinθ-2 = 0 is

• 
  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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

The solution of the equation 3 tan²x = 1 is ____________

• 
  A
• 
  B
• 
  C
• none of these D

If Sin A = sin B, cos A = cos B, then the value of A in terms of B is

• 
  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

• 
  A
• 
  B
• 
  C
• none of these D

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

• 
  A
• 
  B
• 
  C
• none of these D

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

• 
  A
• 
  B
• 
  C
• none of these D

• 
  A
• 
  B
• 
  C
• none of these 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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• none of these D

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

• 
  A
• 
  B
• 
  C
• 
  D

General solution of tan 5θ= cot 2θis

• 
  A
• 
  B
• 
  C
• 
  D

cotθ= sin 2θifθ=

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  D

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