Basic MathematicsGeometry (KVPY StreamSA (Class 11) Math): Questions 33  37 of 62
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Question number: 33
» Basic Mathematics » Geometry » Quadrilateral and Properties
Question
The area of a rectangular PQRS is 36. Points M and N are on the side RS, such that PM = QN = 5. Find the length of MN. (Lengths of sides of the rectangular are integer)
Choices
Choice (4)  Response  

a.  5  
b.  3  
c.  4  
d.  2 
Question number: 34
» Basic Mathematics » Geometry » Circle and Properties
Question
Suppose P is a point on the circle with centre O and radius 2; R is a point outside the circle such that in triangle PRO, ∠POR = 4^{0}. Let S be the point where the segment PS intersects the given circle. If PS = SR, then measure of ∠SRP equals,
Choices
Choice (4)  Response  

a.  46^{0}  
b.  88^{0}  
c.  44^{0}  
d.  48^{0} 
Question number: 35
» Basic Mathematics » Geometry » Advanced Therorems and Properties
Question
The three different face diagonals of a cuboid (rectangular parallelepiped) have lengths 70, 82, 86. The length of the main diagonal of the cuboid which joins a pair of opposite corners is
Choices
Choice (4)  Response  

a.  90.78  
b.  97.52  
c.  80.63  
d.  95.36 
Question number: 36
» Basic Mathematics » Geometry » Advanced Therorems and Properties
Question
Let ABCD be a square of side length 1, and a circle of radius r, passing through B and C, and touching AD. The radius of r is –
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 37
» Basic Mathematics » Geometry » Triangle and Properties
Question
In a triangle ABC, points X and Y are on AB and AC, respectively, such that XY is parallel to BC. Which of the two following equalities always hold? (Here [PQR] denotes the area of triangle PQR) –
(I) [BCX] = [BCY]
(II)
Choices
Choice (4)  Response  

a.  (II)  
b.  Neither (I) nor (II)  
c.  (I)  
d.  Both a. and c. are correct 