Co-ordinate-Geometry

Question 1

If the eccentricity is less than one, then conic is a __________

A
Circle
B
Parabola
C
Ellipse
D
Hyperbola
       Engineering-Mathematics       Co-ordinate-Geometry       APPSC-2016-DL-CA
Question 1 Explanation: 
If the eccentricity is zero, the curve is a circle; if equal to one, a parabola; if less than one, an ellipse; and if greater than one, a hyperbola.
Question 2
A circle, if scaled only in one direction becomes a :
A
Ellipse
B
Parabola
C
Hyperbola
D
Remains as a circle
       Engineering-Mathematics       Co-ordinate-Geometry       TNPSC-2017-Polytechnic-CS
Question 2 Explanation: 
A circle, if scaled only in one direction becomes a ellipse.
Question 3
Ax2 + By2 + Cxy + Dx + Ey + F = 0 represents a :
A
Line
B
Conic section
C
Circle
D
None of the above
       Engineering-Mathematics       Co-ordinate-Geometry       TNPSC-2017-Polytechnic-CS
Question 3 Explanation: 
Circle equations are often given in the general format of Ax2 + By2 + Cx + Dy + E = 0.
Question 4

Y = 4x2 is an equation of

A
Parabola
B
Circle
C
Hyperbola
D
Eclipse
       Engineering-Mathematics       Co-ordinate-Geometry       APPSC-2012-DL CA
Question 4 Explanation: 
Y = 4x2 is an equation of parabola.
Question 5
Consider a triangle A(0,0), B(1,1) and C(5,2). The triangle has to be rotated by an angle of 45 about the point P(-1, -1). What shall be the coordinates of the new triangle?
A
B
C
D
       Engineering-Mathematics       Co-ordinate-Geometry       UGC NET CS 2015 June Paper-3
Question 5 Explanation: 

Question 6
Which of the following statement(s) is/are incorrect ?
A
Mapping the coordinates of the points and lines that form the picture into the appropriate coordinates on the device or workstation is known as viewing transformation.
B
The coordinate system that corresponds to the device or workstation where the image is to be displayed is known as physical device coordinate system
C
The right-handed cartesian coordinates system in whose coordinates we describe the picture is known as world coordinate system.
D
Left - handed coordinate system in which the display area of the virtual display device corresponds to the unit (|x|) square whose lower left-hand corner is at the origin of the coordinate system, is known as normalized device coordinate system.
       Engineering-Mathematics       Co-ordinate-Geometry       UGC NET CS 2015 June Paper-3
There are 6 questions to complete.

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