Computer Graphics - Graphics Operations

16. Consider the three points, A(3, 6, 4); B(2, 5, 5); C(O, 3, 7) and the view point V(l, 4, 6).
Choose the correct option(s).

  • Option : D
  • Explanation :
    The equation of the line joining V and A is given by x = t + 3; y = t + 6; z = 4 - t.
    Since B and C satisfy this, all the four points are collinear.
    We can find that t = 0 for A, t = -1 for B, t = -2 for V and t = -3 for C.
    From these values it is clear that these points lie in the order C, V, B, A.
    Hence the answer
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17. The people of the planet Mars designed a scale for measuring the temperature in which water freezes at 100 units and boils at 250 units. The people of Jupiter designed a scale in which water freezes at 75 units and boils at 300 units. The two scales coincide at

  • Option : C
  • Explanation :
    We have to find the temperature that is same in Mars and Jupiter. Put M = J in the equation
    (M -100) x 225/150 = J -75 and solve to get 150
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18. Which of the following curves are symmetric about the line x = y?

  • Option : D
  • Explanation : lf the equation of the curve is unaltered, if x is replaced by y and y by x, then the curve will be symmetric about the line x = y.
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19. Which of the following points lies on the same side as the origin, with reference to the line 3x + 7y = 2?

  • Option : D
  • Explanation :
    If (0, 0) is substituted in the equation, we get 0, which is less than 2. So, any point on the same side as that of the origin, should yield a value less than 2, when substituted in the equation.
    Hence the result
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20. Which one of the following is not a linear transformation?

  • Option : B
  • Explanation :
    A function F(x, y) x (a, b) is linear if F(ax, ay) = aF(x, y) and F(a+x, b+y) = F(a, b)+ F(x, y). The functions given in options (A), (C), (D) satisfy these two conditions but option (B) doesn't
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