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

The towers each 120 meters high are 800 meters apart. The measure of the angle of elevation from the base of one tower to the top of the other is

• 12^𝜊 A
• 9^𝜊 B
• 7^𝜊 C
• -120^𝜊 D

• 
  A
• 
  B
• 
  C
• 
  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 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

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

The process of finding the unknown elements in triangle is called the

• solution of the triangle A
• Mean differnece B
• Engineering distance C
• angle of depressin D

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  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

• 30° A
• 60° B
• 45° C
• None of these D

Area ofΔABC=

• ab sinα A
• 1/2 ab sinα B
• 1/2 ac sinγ C
• 1/2 ac sinβ D

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

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

The angle of depression of a point A on the ground from the top of the tower is 30𝜊,then the angle of elevation of the top of the tower at the point A is

• 60𝜊 A
• 40𝜊 B
• 41𝜊 C
• 30𝜊 D

IfΔABC is right, law of cosine reduce to

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

Area of inscribed circle is

• π R2 A
• π η2 B
• π r22 C
• π r2 D

• 
  A
• 
  B
• 
  C
• 
  D

Ifθ= 60° then

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

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

• Circle A
• Hyperbola B
• Ellipse C
• Parabola 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

• 
  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
• 
  C
• 
  D

An airplane flying at height of 300 meters above the ground passes vertically above another plane at an instant when the angle of elevation of the two planes from the same point on the ground are 60° and 45° respectively. Then the height of the lower plane from the ground is (in meters).

• 
  A
• 
  B
• 
  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

E-radius corresponding to < B is

• 
  A
• 
  B
• 
  C
• 
  D

The angle of elevation of the tops of two towers at the middle point of the line joining the foots of the tower are 60^οand 30^οrespectively. The the ratio of the heghts of the tower is

• 2 : 1 A
• 3 : 1 B
• 1 : 2 C
• 1 : 3 D

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

The angle of elevation of a tower from a point A due south of it is x and from a point B due east of A is y. If AB = 1, then the height h of the tower is given by

• 
  A
• 
  B
• 
  C
• 
  D