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

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  A
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  B
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  C
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  D

A tower subtends an angleαat a point on the same level as the root of the tower and at a second point, b meters above the first, the angle of depression of the foot of the tower isβ. The height of the tower is

• b cotαtanβ A
• b tanαtanβ B
• b tanαcotβ 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

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 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

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

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

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  A
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  B
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  C
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  D

If Cosθ=0, thenθ= ______

• nπ/2 A
• (2n + 1)π/2 B
• (2n - 1)π/2 C
• (4n + 1)π/2 D

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

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  A
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  B
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  C
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  D

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  A
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  B
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  C
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  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 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

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  A
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  B
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  C
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  D

• R A
• 2R B
• r C
• 2r D

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  A
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  B
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  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

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

E-radius corresponding to < C is

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  A
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  B
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  C
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  D

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  A
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  B
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  C
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  D

Area of inscribed circle is

• π R2 A
• π η2 B
• π r22 C
• π r2 D

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

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  A
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  B
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  C
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  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

The law of consines is

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  A
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  B
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  C
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  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

IfΔABC is right, law of cosine reduce to

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

Area ofΔABC=

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

The law of tangents is ______

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  A
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  B
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  C
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  D

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  A
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  B
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  C
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  D