KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SBSX (Class 12 & 1st Year B.Sc.) Math: Questions 37  42 of 172
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Question number: 37
» Matrices and Determinants » Solution of Simultaneous Linear Equations in Two or Three Variables
Appeared in Year: 2010
Question
Let A denote the matrix , where , and let I denote the identity matrix . Then is –
Choices
Choice (4)  Response  

a.  f has local minima at x = c, a and a local maximum at x = b 

b.  f has local minima at x = a, b and a local maximum at x = c 

c.  f has local minima at x = b, c and a local maximum at x = a 

d.  All of the above 

Question number: 38
» Trigonometry » Trigonometric Functions
Appeared in Year: 2010
Question
The product equals –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 39
» Sequence and Series » Geometric Progressions
Appeared in Year: 2010
Question
Suppose the sides of a triangle form a geometric progression with common ratio r. Then r lies in the interval –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


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 
