KVPY (Kishore Vaigyanik Protsahan Yojana) StreamSA (Class 11) Math: Questions 22  26 of 265
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Question number: 22
» Complex Numbers and Quadratic Equations » Quadratic Equations in Real and Complex Number System
Question
Let p, q, r, s be real numbers such that . Then the sum of all possible values of is,
Choices
Choice (4)  Response  

a.  16 

b.  66 

c.  36 

d.  96 

Question number: 23
» 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: 24
» Complex Numbers and Quadratic Equations » Formation of Quadratic Equations With Given Roots
Appeared in Year: 2011
Question
If , then is,
Choices
Choice (4)  Response  

a.  a 3 + a 2 + 3 a  16  b 

b. 


c.  a 3  a 2 + 3 a  6  b 

d. 


Question number: 25
» Basic Mathematics » Arithmetic » Ratio and Proportion
Appeared in Year: 2011
Question
Two friends A and B are 30 km apart and they start simultaneously on motorcycles to meet each other. The speed of A is 3 times that of B. The distance between them decreases at the rate of 2 km per minute. Ten minutes after they start, A’s vehicle breaks down and A stops and waits for B to arrive. After how much time (in minutes) A started riding, does B meet A?
Choices
Choice (4)  Response  

a.  20 

b.  30 

c.  25 

d.  15 

Question number: 26
» 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 
