Coordinate Geometry (KVPY (Kishore Vaigyanik Protsahan Yojana) StreamSA (Class 11) Math): Questions 5  9 of 14
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Question number: 5
» Coordinate Geometry » Conic Sections
Question
The diameter of one of the bases of a truncated cone is 400 mm. If the diameter of this base is increased by 25 % such that it still remains a truncated cone with the height and the other base unchanged, the volume also increases by 25%. The radius of the other base (in mm) is
Choices
Choice (4)  Response  

a.  90 

b.  80 

c.  100 

d.  70 

Question number: 6
» Coordinate Geometry » Conic Sections
Appeared in Year: 2011
Question
The diameter of one of the bases of a truncated cone is 100 mm. If the diameter of this base is increased by 21 % such that it still remains a truncated cone with the height and the other base unchanged, the volume also increases by 21%. The radius of the other base (in mm) is
Choices
Choice (4)  Response  

a.  35 

b.  65 

c.  45 

d.  55 

Question number: 7
» Coordinate Geometry » Equations of Internal and External Bisectors of Angles
Question
PQR be a triangle with ∠ Q = 90 ^{0}. Let PS be the bisector of ∠ P with S on QR. Suppose PR = 5 cm, length of the SR is 2 cm, and the area of the triangle PQS is 10 cm ^{2}. Then the length of PQ in cm is equal to
Choices
Choice (4)  Response  

a.  10 

b.  7 

c.  15 

d.  5 

Question number: 8
» Coordinate Geometry » Circles
Appeared in Year: 2011
Question
Three circles each of radius 1, touch one another externally and they lie between two parallel lines. The minimum possible distance between the lines is
Choices
Choice (4)  Response  

a. 


b.  4 

c. 


d. 


Question number: 9
» Coordinate Geometry » Circles
Appeared in Year: 2013
Question
Tangents to a circle at points P and Q on the circle intersect at a point R. If PQ = 6 and PR = 5 then the radius of the circle is
Choices
Choice (4)  Response  

a. 


b. 


c. 


d.  4 
