##### Long Questions

Q2 a) Explain the components of a cathode ray tube with a neat labelled diagram for electrostatic deflection cathode ray tube.

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b) List the operating characteristics of the following I/O devices. Joystick and Plotter.

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Q3 a) Find the pixel positions for the circle centered at (2,0) with radius 15 using the midpoint circle algorithm.

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b) Use DDA algorithm to draw a line from A(8,2) to B(3,7) while determine the pixel positions along the line and plotting those graphically that would approximate the desired line.

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Q4 a) Describe the steps needed to tilt a 2 x 2 square, located at position(4,2) so that its bottom edge is oriented parallel to (1,2) vector. Provide the transformation matrix and show how the matrix was derived.

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b) Reflect the diamond-shaped polygon whose vertices are A(-1,0), B(0,-2), C(1,0) and D(0,2) about the horizontal line y=2 and about the vertical line x=2.

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Q5 a) Discuss the step by step procedure of scan line region filling algorithm.

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b) What do you mean by parallel projection? Explain the different types of parallel projection.

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Q6 a) What is window-to-viewport mapping? Give the coordinates of a window in world coordinates and viewport in normalized device coordinates. Convert the normalized device coordinate in the viewport.

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b) Determine 3-D transformation matrix to scale a line AB in z-direction by 3.5 by keeping point A fixed. Then rotate the line by 45 degree anticlockwise about x-axis, Given A(10,15,20) and B(45, 60,, 30).