KVPY Stream SBSX (Class 12 & 1st Year B.Sc.) Math: Questions 40  44 of 172
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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 
