ECAT Pre Engineering MCQ Test With Answer for Chapter 14 Mathematics

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  A
• 
  B
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  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

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

If sided of𝜟ABC are 16,20,and 33, then the value of the greatests angle to

• 150𝜊 20' A
• 132𝜊 35' B
• 101𝜊 25' C
• 160𝜊 50' D

The law of consines is

• 
  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

At a point 15 meters away from the base of a 15 meters high house, the angle of elevation of the top is

• 90° A
• 60° B
• 30° C
• 45° D

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  A
• 
  B
• 
  C
• 
  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
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  C
• 
  D

The longer side of a parallelogram is 10 cm and the shorter is 6 cm. If the longer diagonal makes an angles 30° with the longer side, the length of the longer diagonal is

• 
  A
• 
  B
• 
  C
• 
  D

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

• R A
• 2R B
• r C
• 2r D

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  A
• 
  B
• 
  C
• 
  D

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

• 
  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

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

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

Ifθ= 60° then

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

An observer on the top of a cliff 200 m above the sea level, observes the angles of depression of two ships on opposite sides of the cliff to be 45° and 30°, respectively. The distance between the ships if the line joining them points to the base of cliff is

• 
  A
• 
  B
• 
  C
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  D

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

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

The angle AOP which the ray from an observer's eye at O to an object at P at a lower level makes with horizontal ray OA through O is called the

• Angle of depression A
• Angle of elevation B
• Acute angle C
• Obtuse angle D

A chimney is such that on walking towards it 50 m in a horizontal line through its base the angular elevation of its top changes from 30° to 45°. The height of the chimney is

• 
  A
• 
  B
• 
  C
• 
  D

e-radii are denoted by

• η A
• r2 B
• r3 C
• All of these 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

If the flag-staff 6 meters high placed on the top of a tower. Makes the shadow 2√3 m on the ground, then the angle of elevation of the sun is

• 30^ο A
• 35^ο B
• 45^ο C
• 60^ο 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

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

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 of elevation of the top of a tree on the opposite bank of the river is 60° and when he retires 40 meters away from the tree the angle of elevation becomes 30°. The breadth of the river is

• 40 m A
• 30 m B
• 20 m C
• 60 m D