Coordinate Geometry (KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SBSX (Class 12 & 1st Year B.Sc.) Math): Questions 14  17 of 22
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Question number: 14
» Coordinate Geometry » Equation of a Circle
Appeared in Year: 2013
Question
Two line segments and are constrained to move along the and axes, respectively, in such a way that the points are on cyclic. If and , then the locus of the centre of the circle passing through in polar coordinates is – (Model Paper)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 15
» Coordinate Geometry » Intercepts of a Line on Coordinate Axes
Appeared in Year: 2013
Question
The area bounded by the curve , the line joining and and the line joining and is – (Model Paper)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 16
» Coordinate Geometry » Equations of a Line
Appeared in Year: 2013
Question
If are positive real numbers such that the lines and are parallel, then the least possible value of is – (Model Paper)
Choices
Choice (4)  Response  

a.  6 

b.  13 

c.  12 

d.  8 

Question number: 17
» Coordinate Geometry » Distance Formula
Appeared in Year: 2013
Question
Consider a triangle PQR in the with vertices and . The line intersect line QR and line PR at point M and point N, respectively, such that the area of triangle PQR is of area of triangle MNR. Therefore value of is – (Model Paper)
Choices
Choice (4)  Response  

a. 


b.  4 

c.  3 

d. 

