ECAT Pre General Science MCQ Test With Answer for Mathematics Chapter 14

If the angle of a triangle are in the ratio 2 : 3 : 7, the triangle is

• Obtuse A
• Acute B
• Right angle C
• Isosceles D

• The law of consines A
• The law of sines B
• The law of tangents C
• None of these D

The law of sines can be used to solve oblique triangle when following information is given:

• Two angles and a side A
• Two sides and an angle opposite one of the given sides B
• Two sides and the angle between two sided C
• Option a and b D

• 
  A
• 
  B
• 
  C
• 
  D

A kite flying at a height of 67.2 m is attached to a fully stretched string inclined at an angle of 53 to the horizontal, the length of the string

• 62m A
• 82m B
• 73m C
• 57m D

IfΔABC is right, law of cosine reduce to

• Law of sine A
• Law of tangent B
• Phthogorous theorem C
• Hero's formula D

When the angle between the ground and the sun is 30^𝜊,flag pole costss a shadow of 40 mg long. the height of the top of the flag is

• 25m A
• 23m B
• 12m C
• 29m D

• 
  A
• 
  B
• 
  C
• 
  D

A circle drawn inside a triangle and touching its sides is called

• In-circle A
• Circum circle B
• Escribed circle C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

If five triangles are constructed having sides of the lengths indicated below, the triangle that will NOT be a right triangle is

• 8, 15, 17 A
• 3, 4, 5 B
• 12, 15, 18 C
• 5, 12, 13 D

e-radii are denoted by

• η A
• r2 B
• r3 C
• All of these D

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

• 
  A
• 
  B
• 
  C
• 
  D

120° degrees are equal to how many radians?

• 
  A
• 
  B
• 
  C
• 
  D

The upper 3/4 the portion of a vertical pole subtends an angle tan^-13/5 at a point in the horizontal plane through its foot and at a distance 40 m from the foot. A possible height of the vertical pole is

• 20 m A
• 40 m B
• 60 m C
• 80 m D

The law of tangents is ______

• 
  A
• 
  B
• 
  C
• 
  D

The triangle that does not have a right angle is called.

• Isosceles triangle A
• right angle triangle B
• equivalent triangle C
• oblique triangle D

• 
  A
• 
  B
• 
  C
• 
  D

The law of sines is

• 
  A
• 
  B
• 
  C
• 
  D

A circle which touches one side of a triangle extermally and the other two sides produced is called

• In-circle A
• Circumcircle B
• e-circle C
• Point circle D

In-radius is denoted by

• r A
• η B
• r2 C
• R D

A man of height 6 ft observes the top of a tower and the foot of the tower at angles of 45° and 30° of elevation and depression respectively. The height of the tower is

• 
  A
• 
  B
• 
  C
• 
  D

A person standing on the bank of a river finds that the angle of elevation of the top of a tower on the opposite bank is 45°. then which of the following statements is correct?

• Breadth of the river is twice the height of the tower A
• Breadth of the river an the height of the tower are the same B
• Breadth of the river is half of the height of the tower C
• None of these D

• The law of of sines A
• The law of tangents B
• The law of consines C
• None of these D

AB is a vertical pole and C is its middle point. The end A is on the level ground and P is any point on the level ground other than A. the portion CB subtends and angleβat P. If AP : AB = 2 : 1 thenβ=

• 
  A
• 
  B
• 
  C
• 
  D

A circle passing through the vertices of any triangle is called

• Circumcirle A
• Incircle B
• Escribed circle C
• Unit circle D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

Ifθ= 60° then

• sinθ= 1/2 A
• tanθ= cot 30° B
• θ=π/4 C
• secθ= 4 D

• 
  A
• 
  B
• 
  C
• 
  D