First Year Mathematics Chapter 12 Online MCQ Test for 1st Year Mathematics Chapter 12 (Application of Trigonometry)

If 2s = a + b + c, where a, b, c are the sides of a triangle ABC, then area of triangle ABC is given by:

• 
  A
• 
  B
• 
  C
• 
  D

• r₁ A
• r₂ B
• r₃ C
• r D

In a triangle ABC if a² - b² + c² = ac then < ß =

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

The lengths of the sides of a triangle are proportional to the sines of the opposite angles to the sides. This is known as:

• The law of sines A
• The law of cosines B
• The law of tangents C
• The fundamental law D

• 
  A
• 
  B
• 
  C
• 
  D

When two sides and included angle is given, then area of triangle is given by:

• 
  A
• 
  B
• 
  C
• all of these D

In any triangle ABC, law of cosines is:

• 
  A
• 
  B
• 
  C
• 
  D

In a right isoceles triangle, one acute angle is:

• 30° A
• 45° B
• 60° C
• 75° D

In a triangle ABC, (s - a)(s - b) = s(s - c), then the angle Γ =

• 
  A
• 
  B
• 
  C
• 
  D

A circle drawn inside a triangle and touching its sides is known as:

• 
  A
• 
  B
• 
  C
• 
  D

In 2s = a + b + , then in any triangle ABC:

• 
  A
• 
  B
• 
  C
• all of above D

In triangle the length of the sides are 7, 4√3 and √13. Then the smallest angle is:

• 15° A
• 30° B
• 60° C
• 45° D

In any triangle ABC, law of sines is:

• 
  A
• 
  B
• 
  C
• 
  D

r r₁ r₂ r₃ =

• 
  A
• 
  B
• 
  C
• abc D

If triangle ABC, If ß = 90° then:

• 
  A
• 
  B
• 
  C
• none of these D

r₃ =

• 
  A
• 
  B
• 
  C
• 
  D

In a triangle ABC b = √3, c = 1, α = 30° then a = :

• 2 A
• 1 B
• 3 C
• -1 D

r₂ =

• 
  A
• 
  B
• 
  C
• 
  D

The in-radius r of a triangle is given by:

• 
  A
• 
  B
• 
  C
• 
  D