Basic Mathematics (KVPY StreamSA (Class 11) Math): Questions 30  34 of 164
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Question number: 30
» Basic Mathematics » Geometry » Advanced Therorems and Properties
Appeared in Year: 2013
Question
Let ABCD be a square and let P be point on segment CD such that DP: PC = 1: 2. Let Q be a point on segment AP such that ∠BQP = 90°. Then the ratio of the area of quadrilateral PQBC to the area of the square ABCD is.
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 31
» 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: 32
» 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: 33
» 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: 34
» 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. 

