MathematicsBasic Geometry (NTSE Stage1 (StateLevel) ScholasticAptitude & Language Comprehension): Questions 19  23 of 42
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Question number: 19
» Mathematics » Basic Geometry
Question
In the figure, PQ is a chord of a circle with center O and PT is the tangent at P such that ∠ QPT = 70°. Then, the measure of ∠ PRQ is equal to
Choices
Choice (4)  Response  

a.  150° 

b.  120° 

c.  110° 

d.  135° 

Question number: 20
» Mathematics » Basic Geometry
Question
AB and CD are two parallel chords of a circle such that AB = 10 cm and CD = 24 cm. If the chords are on the opposite sides of the center and the distance between them is 17 cm, the radius of the circle is
Choices
Choice (4)  Response  

a.  15 cm 

b.  12 cm 

c.  10 cm 

d.  14 cm 

Question number: 21
» Mathematics » Basic Geometry
Question
E and F are respectively the midpoints of the sides AB and AC of ∆ABC and the area of the quadrilateral BEFC is k times the area of ∆ ABC. The value of k is
Choices
Choice (4)  Response  

a.  4 

b.  3 

c. 


d. 


Question number: 22
» Mathematics » Basic Geometry
Question
The encircle of a ∆ABC touches the sides AB, BC and AC at the point P, Q and R respectively, then which of the following statements is/are correct?
I. AP + BQ + CR = PB + QC + RA
II. AP + BQ + CR = 0.5 (perimeter of ∆ABC)
III. AP + BQ + CR = 3 (AB + BC + CA)
Choices
Choice (4)  Response  

a.  I, II and III 

b.  Only I 

c.  II and III 

d.  I and II 

Question number: 23
» Mathematics » Basic Geometry
Question
If AD, BE and CF are the medians of a ∆ABC, then the current relation between the sum of the squares of sides to the sum of the squares of median is
Choices
Choice (4)  Response  

a. 


b. 


c. 


d.  Question does not provide sufficient data or is vague 
