Basic MathematicsGeometry (KVPY Stream SBSX (Class 12 & 1st Year B.Sc.) Math): Questions 1  5 of 24
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Question number: 1
» Basic Mathematics » Geometry » Advanced Therorems and Properties
Appeared in Year: 2011
Question
In a rectangle ABCD, the coordinates of A and B are (1, 2) and (3, 6) respectively and some diameter of the circumscribing circle of ABCD has equation . Then the area of the rectangle is –
Choices
Choice (4)  Response  

a. 


b. 


c.  16 

d.  20 

Question number: 2
» Basic Mathematics » Geometry » Advanced Therorems and Properties
Appeared in Year: 2010
Question
Let ABC be an equilateral triangle, let KLMN be a rectangle with K, L on BC, M on AC and N on AB. Suppose and the area of triangle BKN is 6. The area of the triangle ABC is –
Choices
Choice (4)  Response  

a.  54 

b.  108 

c.  48 

d.  Question does not provide sufficient data or is vague 

Question number: 3
» Basic Mathematics » Geometry » Triangle and Properties
Appeared in Year: 2011
Question
In triangle ABC, we are given that and . Then the measure of the angle C is –
Choices
Choice (4)  Response  

a.  60^{0} 

b.  150^{0} 

c.  75^{0} 

d.  30^{0} 

Question number: 4
» Basic Mathematics » Geometry » Advanced Therorems and Properties
Appeared in Year: 2012
Question
Let h be the orthocenter of an acute – angled triangle ABC and O be its circumcenter. Then ,
Choices
Choice (4)  Response  

a.  Is equal to 

b.  Is equal to 

c.  Is equal to 

d.  Is not a scalar multiple of in general 

Question number: 5
» Basic Mathematics » Geometry » Triangle and Properties
Appeared in Year: 2013
Question
Let ABC be an acute – angled triangle and let D be the midpoint of BC. If AB = AD, then equals,
Choices
Choice (4)  Response  

a.  2 

b.  3 

c. 


d. 

