Coordinate Geometry (KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SBSX (Class 12 & 1st Year B.Sc.) Math): Questions 1  5 of 22
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Question number: 1
» Coordinate Geometry » Distance Formula
Appeared in Year: 2011
Question
The minimum distance between a point on the curve and a point on the curve is –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 2
» Coordinate Geometry » Locus and Its Equation
Appeared in Year: 2010
Question
The figure shown below is the graph of the derivative of some function.
Choices
Choice (4)  Response  

a.  3 

b.  1 

c.  2 

d.  None of the above 

Question number: 3
» Coordinate Geometry » Locus and Its Equation
Appeared in Year: 2011
Question
All the points (x, y) in the plane satisfying the equation lie on –
Choices
Choice (4)  Response  

a.  a pair of straight lines 

b.  a parabola 

c.  a family of hyperbolas 

d.  an ellipse 

Question number: 4
» Coordinate Geometry » Parabola
Appeared in Year: 2011
Question
In the xy – plane, three distinct lines concur at a point (λ, 0). Further the lines are normal to the parabola at the points respectively. Then we have –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 5
» Coordinate Geometry » Section Formula
Appeared in Year: 2010
Question
The following figure shows the graph of a continuous function y = f (x) on the interval [1, 3]. The points A, B, C have coordinates (1, 1), (3, 2), (2, 3) respectively, and the lines L_{1} and L_{2} are parallel, with L_{1} being tangent to the curve at C. If the area under the graph of y = f (x) from x = 1 to x = 3 is 4 square units, then the area of the shaded region is
Choices
Choice (4)  Response  

a.  4 

b.  3 

c.  5 

d.  2 
