KVPY Stream SBSX (Class 12 & 1st Year BSC) Math: Questions 40  44 of 155
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Question number: 40
» Matrices and Determinants » Area of Triangles Using Determinants
Appeared in Year: 2011
Question
Let be two points in the plane. The locus of a point C such that the area of triangle ABC is 18 sq. units is –
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 41
» Trigonometry » Trigonometric Identities and Equations
Appeared in Year: 2012
Question
The value of is –
Choices
Choice (4)  Response  

a.  0  
b.  3  
c.  2  
d.  4 
Question number: 42
» 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: 43
» Trigonometry » Trigonometric Identities and Equations
Appeared in Year: 2012
Question
Let then –
Choices
Choice (4)  Response  

a.  f is strictly increasing function  
b.  f is strictly decreasing function  
c.  but for any  
d.  f is a constant function: 
Question number: 44
» 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 