MathematicsTrigonometry (NTSE Stage1 (StateLevel) ScholasticAptitude & Language Comprehension): Questions 10  15 of 51
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Question number: 10
» Mathematics » Trigonometry
Question
If A is the area of a right angled triangle and b is one of the sides containing the right angle, then what is the length of the altitude on the hypotenuse?
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 11
» Mathematics » Trigonometry
Question
If and , then is equal to
Choices
Choice (4)  Response  

a.  1 

b.  2 

c.  2 

d.  1 

Question number: 12
» Mathematics » Trigonometry
Question
If = , then which of the following expressions must necessarily be true?
Choices
Choice (4)  Response  

a.  tan x + tan y + tan z 

b.  cos x + cos y + cos z 

c. 


d. 


Question number: 13
» Mathematics » Trigonometry
Question
A triangle formed by the points A (2, 5), B (3, 8) and C (x, y). If the centroid of the triangle is (3, 5), what is the coordinate of point C?
Choices
Choice (4)  Response  

a.  (4, 2) 

b.  (2, 4) 

c.  (4, 2) 

d.  None of the above 

Question number: 14
» Mathematics » Trigonometry
Question
For what value of k, the vertices (2, 1), (3, 3) and (5, k) form an equilateral triangle?
Choices
Choice (4)  Response  

a.  No such value exist 

b. 


c.  4 

d.  2 

Question number: 15
» Mathematics » Trigonometry
Question
If , then the value of is
Choices
Choice (4)  Response  

a.  3 

b.  ½ 

c.  2 

d.  1 
