Co-ordinate-Geometry

Question 1
A circle, if scaled only in one direction becomes a :
A
Ellipse
B
Parabola
C
Hyperbola
D
Remains as a circle
Question 1 Explanation: 
A circle, if scaled only in one direction becomes a ellipse.
Question 2
Ax2 + By2 + Cxy + Dx + Ey + F = 0 represents a :
A
Line
B
Conic section
C
Circle
D
None of the above
Question 2 Explanation: 
Circle equations are often given in the general format of Ax2 + By2 + Cx + Dy + E = 0.
Question 3
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
Question 3 Explanation: 

Question 4
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.
Question 5
Find the equation of the circle x2+y2=1 in terms of x'y' coordinates, assuming that the xy coordinate system results from a scaling of 3 units in the x' direction and 4 units in the y' direction.
A
3(x')2 + 4(y')2 = 1
B
(x'/3)2 + (y'/4)2 = 1
C
(3x')2 + 4(y')2 = 1
D
1/3(x')2 + 1/4(y')2 = 1
Question 6
A rectangle is bounded by the lines x = 0; y=0, x = 5 and y = 3. The line segment joining (–1, 0) and (4, 5), if clipped against this window will connect the points _____________.
A
(0, 1) and (3, 3)
B
(0, 1) and (2, 3)
C
(0, 1) and (4, 5)
D
(0, 1) and (3, 5)
Question 6 Explanation: 
We have to use Cohen Sutherland line clipping algorithm.
The line segment joining (-1,0) and (4,5)
y-0 = ((5-0) / 4-(-1))*(x-(-1))
y=x+1
Clipped against this window will connect the points are (0, 1) and (2, 3) based on given data. Rest of the options are not correct.
There are 6 questions to complete.

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