Basic Mathematics (KVPY Stream SBSX (Class 12 & 1st Year B.Sc.) Math): Questions 11  15 of 57
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Question number: 11
» 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: 12
» 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: 13
» Basic Mathematics » Algebra » Solutions to Equations
Appeared in Year: 2012
Question
In the real number system, the equation has –
Choices
Choice (4)  Response  

a.  No solution 

b.  Exactly two distinct solutions 

c.  Infinitely many solutions 

d.  Exactly four distinct solutions 

Question number: 14
» 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. 


Question number: 15
» Basic Mathematics » Algebra » Simplifying Expressions
Appeared in Year: 2013
Question
Let ω be a cube root of unity not equal to 1. Then the maximum possible value of where a, b, c ∈ {+1, 1} is –
Choices
Choice (4)  Response  

a. 


b.  2 

c. 


d.  0 
