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

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

• 
  A
• 
  B
• 
  C
• 
  D

r r₁ r₂ r₃ =

• 
  A
• 
  B
• 
  C
• abc 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

If α, ß, Γ are the angles of a oblique triangle, then:

• α = 90° A
• ß = 90° B
• Γ = 90° C
• none of these D

A circle which touches one side of a triangle externally and the other two produces sides internally is known as:

• 
  A
• 
  B
• 
  C
• 
  D

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

• 2 A
• 1 B
• 3 C
• -1 D

• 3:5:2 A
• 
  B
• 3:2:1 C
• 1:2:3 D

r₁ =

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  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 triangle ABC, If Γ = 90° then:

• 
  A
• 
  B
• 
  C
• b = c + a D

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

• 
  A
• 
  B
• 
  C
• 
  D

r₂ =

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

With usual notations for triangle R equals:

• 
  A
• 
  B
• 
  C
• 
  D

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

If the elevation of the sun is 30°, the length of the shadow cast by a tower of 150m height is:

• 
  A
• 
  B
• 
  C
• none D

• 
  A
• 
  B
• 
  C
• 
  D