Basic MathematicsGeometry (KVPY StreamSA (Class 11) Math): Questions 14  18 of 62
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Question number: 14
» Basic Mathematics » Geometry » Advanced Therorems and Properties
Appeared in Year: 2014
Question
A semicircle of diameter 1 unit sits at the top of a semicircle of diameter 2 units. The shaded region inside the smaller semicircle but outside the larger semicircle is called a lune. The area of the lune is
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 15
» Basic Mathematics » Geometry » Triangle and Properties
Appeared in Year: 2013
Question
In a triangle ABC with ∠A < ∠B < ∠C, points D, E, F are on the interior of segments BC, CA, AB, respectively. Which of the following triangles CANNOT be similar to triangle ABC?
Choices
Choice (4)  Response  

a.  Triangle ABD 

b.  Triangle BCE 

c.  Triangle CAF 

d.  Triangle DEF 

Question number: 16
» Basic Mathematics » Geometry » Triangle and Properties
Appeared in Year: 2014
Question
The angle bisectors BD and CE of a triangle ABC are divided by the in centre I in the ratios 3: 2 and 2: 1 respectively. Then the ratio in which I divide the angle bisector through A is
Choices
Choice (4)  Response  

a.  11: 4 

b.  6: 5 

c.  7: 4 

d.  3: 1 

Question number: 17
» Basic Mathematics » Geometry » Advanced Therorems and Properties
Appeared in Year: 2010
Question
Consider a square ABCD of side 12 and let M, N be the midpoints of AB, CD respectively. Take a point P on MN and let AP = r, PC = s. Then the area of the triangle whose sides are r, s, 12 is
Choices
Choice (4)  Response  

a.  36 

b.  72 

c. 


d. 


Question number: 18
» Basic Mathematics » Geometry » Advanced Therorems and Properties
Appeared in Year: 2013
Question
On each face of a cuboid, the sum of its perimeter and its area is written. Among the six numbers so written, there are three distinct numbers and they are 16, 24 and 31. The volume of the cuboid lies between.
Choices
Choice (4)  Response  

a.  21 and 28 

b.  28 and 35 

c.  7 and 14 

d.  14 and 21 
