Basic MathematicsGeometry (KVPY (Kishore Vaigyanik Protsahan Yojana) StreamSA (Class 11) Math): Questions 38  42 of 64
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Question number: 38
» Basic Mathematics » Geometry » Advanced Therorems and Properties
Question
A triangular corner is cut from a rectangular piece of paper and the resulting pentagon has sides 5, 6, 8, 9, 12 in some order. The ratio of the area of the pentagon to the area of the rectangle is –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 39
» Basic Mathematics » Geometry » Advanced Therorems and Properties
Question
In the figure given below, a rectangle of perimeter 76 units is divided into 7 congruent rectangles:
What is the perimeter of each of the smaller rectangles?
Choices
Choice (4)  Response  

a.  32 

b.  38 

c.  28 

d.  19 

Question number: 40
» Basic Mathematics » Geometry » Triangle and Properties
Question
In a right triangle ABC, the incircle touches the hypotenuse AC at D. If AD = 2 and DC = 3, the inradius of ABC is,
Choices
Choice (4)  Response  

a.  1 

b.  2 

c.  3 

d.  4 

Question number: 41
» Basic Mathematics » Geometry » Polygons With More Than 4 Sides
Question
A triangular corner is cut from a rectangular piece of board and the resulting pentagon has sides 5, 6, 12, 15, in some order. The area of the rectangle is –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d.  148.5 

Question number: 42
» Basic Mathematics » Geometry » Triangle and Properties
Question
If sides of the triangle ABC are, and , also ∠C = 60^{0}, then other two angles are,
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

