Basic MathematicsGeometry (KVPY (Kishore Vaigyanik Protsahan Yojana) StreamSA (Class 11) Math): Questions 28  32 of 64
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Question number: 28
» 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, 13, 15, 17, 20 in some order. The ratio of the area of the rectangle to the area of the pentagon is,
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 29
» Basic Mathematics » Geometry » Quadrilateral and Properties
Question
Let ABCD be a square of side length 1. Let P, Q, R, S be points in the interiors of the sides AD, BC, AB, CD, respectively, such that PQ and RS intersect at right angles. If then RS equals –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 30
» Basic Mathematics » Geometry » Polygons With More Than 4 Sides
Question
In the figure given below, if the areas of the two regions are equal then which of the following is true?
Choices
Choice (4)  Response  

a.  x = y 

b.  x = 3y 

c.  x = 2y 

d.  2x = y 

Question number: 31
» Basic Mathematics » Geometry » Advanced Therorems and Properties
Question
A square ABCD is inscribed in a circle of radius 3. Two tangents to a circle at points A and B on the circle intersect at a point E. If AE = 4 then find the length of the sides of square.
Choices
Choice (4)  Response  

a.  24 

b.  12 

c. 


d. 


Question number: 32
» Basic Mathematics » Geometry » Triangle and Properties
Question
Let P be an interior point of a triangle ABC. Let Q and R be the reflections of P in AB and AC, respectively. If Q, A, R are collinear then ∠A equals 
Choices
Choice (4)  Response  

a.  90^{0} 

b.  60^{0} 

c.  30^{0} 

d.  120^{0} 
