1. State whether the following statements are true or false. Justify your answers. The resolution of size 2 x 2 inch image having 512 x 512 pixels is 256. If the size is increased to 4 x 4 inches, then the resolution becomes double. The reflection about the line y x is attained by reversing y coordinates. Uniform scaling and rotation form a commutative pair of operations. The perspective projection onto the view plane z where the centre of the projection is the origin is
<img src='./qimages/12506-1d.jpg'> If the spacing between the knot sequence of a cubic spline curve is uniformly doubled, then the shape of the resulting B-spline curve changes.

2.(a) A picture has a resolution of 1024 x 1280 with each of the three colours being represented by 8-bit planes each. What is the storage requirement in megabytes for a 20 second animation of the above picture with 30 frames per second If the compression ratio is 5 what is the storage requirement?
What is the role of a video controller?

3. Consider a polygon with vertices V1 V9 V1 and edges Ei ViVi 1 for i ..., 8. Write the initial sorted edge list for the polygon. State which edges will be active on scan lines y 10.

4.(a) Perform a 45° rotation of triangle about the origin.
Find a normalization transformation from the window whose lower left corner is at and upper right corner is at onto the normalized device screen so that aspect ratios are preserved.

5. Let W be a window whose lower left hand corner is at and upper right hand corner is at 6). Trace Cohen-Sutherland line clipping algorithm for the following line segments:
A to B
C to D
E to F 10)