ECAT Pre Engineering MCQ Test With Answer for Chapter 14 Mathematics

The angle of depression of the point at a distance 70 meters from the foot of the tower from the top of the tower is 45^𝜊.The height of the tower is

• 37m A
• 97m B
• 101m C
• 70m D

For any equilateral r :R :η :r1 :r2 :r3 =

• 1:2:3:4:5 A
• 1:2:3:3:3 B
• 1:2:4:4:4 C
• 2:1 :2 :2 :2 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

The quadratic equation 8 sec2θ - 6 secθ +1 =0 has

• Infinitely many roots A
• Exactly two roots B
• Exactly four roots C
• No roots D

• 
  A
• 
  B
• 
  C
• 
  D

In ladder leaning against a vertical well makes an angle of 24^𝜊with the wall, Its foot is 5m from the wall, its length is

• 5.47m A
• 2m B
• 7m C
• 6.29m D

A circle passing through the vertices of any triangle is called ______

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

A person standing on the bank of a river observes that the angle subtended by a tree of the opposite bank is 60°, when he retreats 40 m from the bank, he finds the angle to be 30°. The height of the tree and the breadth of the river are

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

The angle of elevation of the top of a tree from a point 17 meters from is foot is 42^𝜊The height of the tree is

• 12m A
• 21m B
• 17m C
• 15m D

e-radii are denoted by

• η A
• r2 B
• r3 C
• All of these D

• 
  A
• 
  B
• 
  C
• 
  D

E-radius corresponding to < A is

• 
  A
• 
  B
• 
  C
• 
  D

IfΔABC is right, law of cosine reduce to

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

• 
  A
• 
  B
• 
  C
• 
  D

A triangle which is not right is called an ______ triangle

• Acute A
• Obtuse B
• Oblique C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

If you are looking a high point from the ground, then the angle formed is

• Angle of elevation A
• Angle of depression B
• Right angle C
• Horizon D

In-radius is denoted by

• r A
• η B
• r2 C
• R 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

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

x = r2, y = 1 are the parametric equation of

• Circle A
• Hyperbola B
• Ellipse C
• Parabola D

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

• 
  A
• 
  B
• 
  C
• 
  D

The angle of depression of a point situated at a distance of 70 meters from the base of a tower is 45°. The height of the tower is

• 70 m A
• 85 m B
• 35 m C
• None of these 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

• R A
• 2R B
• r C
• 2r D

• 
  A
• 
  B
• 
  C
• 
  D

If a, b, c are the measures of the sides of a triangle then

• 
  A
• 
  B
• 
  C
• 
  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