KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SBSX (Class 12 & 1st Year B.Sc.) Math: Questions 147  151 of 172
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Question number: 147
» Basic Mathematics » Geometry » Advanced Therorems and Properties
Appeared in Year: 2015
Question
A mirror in the first quadrant is in the shape of a hyperbola whose equation is . A light source in the second quadrant emits a beam of light that hits the mirror at the points . If the reflected ray is parallel to the axis, the slope of the incident beam is –
Choices
Choice (4)  Response  

a. 


b. 


c.  2 

d. 


Question number: 148
» Trigonometry » Trigonometric Functions
Appeared in Year: 2015
Question
Let,
Which of the following statement is FALSE?
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 149
» Basic Mathematics » Arithmetic » Number Games
Appeared in Year: 2015
Question
The largest perfect square that divides is –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 150
» Integral Calculus » Properties of Definite Integrals
Appeared in Year: 2015
Question
If is a cubic polynomial with , and , then
Choices
Choice (4)  Response  

a.  3 

b.  2 

c.  5 

d.  4 

Question number: 151
» Sets, Relations and Functions » Domain, Range
Appeared in Year: 2015
Question
Let ; where, is a real constant. The smallest for which for all is –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

