Coordinate Geometry (KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SBSX (Class 12 & 1st Year B.Sc.) Math): Questions 11  14 of 22
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Question number: 11
» Coordinate Geometry » Ellipse
Appeared in Year: 2014
Question
In a ellipse, its foci and the ends of its major axis are equally spaced, if the length its semi – minor axis is , then the length of its semi – major axis is:
Choices
Choice (4)  Response  

a.  3 

b.  4 

c. 


d. 


Question number: 12
» Coordinate Geometry » Parallel and Perpendicular Lines
Appeared in Year: 2013
Question
Let be unit vectors in the plane, one each in the interior of the four quadrants. Which of the following statements is necessarily true? (Model Paper)
Choices
Choice (4)  Response  

a. 


b.  There exist with such is in the first quadrant 

c.  There exist with such that 

d.  There exist with such that 

Question number: 13
» Coordinate Geometry » Cartesian System of Rectangular Coordinates in Plane
Appeared in Year: 2014
Question
Let . The locus of all points for which the line (where O is origin) cuts the line in such that is –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


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. 

