Co-ordinate-Geometry
Question 1 |
A circle, if scaled only in one direction becomes a :
Ellipse | |
Parabola | |
Hyperbola | |
Remains as a circle |
Question 1 Explanation:
A circle, if scaled only in one direction becomes a ellipse.
Question 2 |
Which of the following statement(s) is/are incorrect ?
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. | |
The coordinate system that corresponds to the device or workstation where the image is to be displayed is known as physical device coordinate system | |
The right-handed cartesian coordinates system in whose coordinates we describe the picture is known as world coordinate system. | |
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 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?
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Question 3 Explanation:
Question 4 |
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.
3(x')2 + 4(y')2 = 1 | |
(x'/3)2 + (y'/4)2 = 1 | |
(3x')2 + 4(y')2 = 1 | |
1/3(x')2 + 1/4(y')2 = 1 |
Question 5 |
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 _____________.
(0, 1) and (3, 3) | |
(0, 1) and (2, 3) | |
(0, 1) and (4, 5) | |
(0, 1) and (3, 5) |
Question 5 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.
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.
Question 6 |
If the eccentricity is less than one, then conic is a __________
Circle | |
Parabola | |
Ellipse | |
Hyperbola |
Question 6 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.
There are 6 questions to complete.