MathematicsCoordinate Geometry (NTSE Stage1 (StateLevel) ScholasticAptitude & Language Comprehension): Questions 1  6 of 7
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Question number: 1
» Mathematics » Coordinate Geometry
Question
If ABCD is a rhombus, then AB ^{2} + BC ^{2} + CD ^{2} + AD ^{2} is equal to
Choices
Choice (4)  Response  

a.  AD ^{2} + BC ^{2} 

b.  AO ^{2} + OC ^{2} 

c.  AC ^{2} + BD ^{2} 

d.  None of the above 

Question number: 2
» Mathematics » Coordinate Geometry
Question
A solid sphere of radius 6 cm is melted into a hollow cylinder of uniform thickness. If the external radius of the base of the cylinder is 5 cm and its height is 32 cm. The uniform thickness of the cylinder is
Choices
Choice (4)  Response  

a.  1.2 cm 

b.  1 cm 

c.  3 cm 

d.  1.5 cm 

Question number: 3
» Mathematics » Coordinate Geometry
Question
Coordinates of P and Q are (4, 3) and ( 1,7). The abscissa of point R on the line segment PQ such that is
Choices
Choice (4)  Response  

a.  1 

b.  18/5 

c.  17/5 

d.  17/8 

Question number: 4
» Mathematics » Coordinate Geometry
Question
The coordinate of the point which divide the line segment joining and internally in ratio is
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 5
» Mathematics » Coordinate Geometry
Question
In the figure given below, ABCD is a quadrilateral in which AB is the longest side and CD is the shortest side, then
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 6
» Mathematics » Coordinate Geometry
Question
For what value of m the points and are collinear?
Choices
Choice (4)  Response  

a.  1 

b.  2 

c. 


d.  None of the above 
