Coordinate Geometry (KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SBSX (Class 12 & 1st Year B.Sc.) Math): Questions 6  10 of 22
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Question number: 6
» Coordinate Geometry » Intercepts of a Line on Coordinate Axes
Appeared in Year: 2010
Question
A circle touches the parabola y^{2} = 4x at (1, 2) and also touches its directrix. The ycoordinates of the point of contact of the circle and the directrix is –
Choices
Choice (4)  Response  

a.  4 

b.  3 

c. 


d. 


Question number: 7
» Coordinate Geometry » Ellipse
Appeared in Year: 2010
Question
Let P be an arbitrary point on the ellipse. Suppose F_{1} and F_{2} are the foci of the ellipse. The locus of the centroid of the triangle PF_{1}F_{2} as P moves on the ellipse is –
Choices
Choice (4)  Response  

a.  A hyperbola 

b.  A circle 

c.  A parabola 

d.  An ellipse 

Question number: 8
» Coordinate Geometry » Straight Lines
Appeared in Year: 2013
Question
If a, b are positive real numbers such that the lines and are parallel, then the least possible value of is–
Choices
Choice (4)  Response  

a.  8 

b.  12 

c.  13 

d.  6 

Question number: 9
» Coordinate Geometry » Distance Formula
Appeared in Year: 2013
Question
Consider a triangle ABC in the XY – plane with vertices A = (0, 0), B = (1, 1) and C = (9, 1). If the line x = a divides the triangle into two parts of equal area, then a equals –
Choices
Choice (4)  Response  

a.  3 

b.  4.5 

c.  3.5 

d.  4 

Question number: 10
» Coordinate Geometry » Conic Sections
Appeared in Year: 2012
Question
Consider the conic. Suppose P is any point on the conic and S_{1}, S_{2} are the foci of the conic, then the maximum value of is
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

