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Three Dimensional Geometry Quiz
Class XII
Mathematics
Three Dimensional Geometry
14 questions
HARD
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Preview questions
1. What is the distance between the points A(1, 2, 3) and B(4, 5, 6)?
3√2 · √27 · √14 · 3√3
2. The direction ratios of the line passing through points (1, 2, 3) and (4, 5, 6) are:
1, 1, 1 · 3, 3, 3 · 2, 2, 2 · 3, 3, 3
3. The equation of the plane containing the points (1, 2, 3), (4, 5, 6), and (7, 8, 9) is:
x + y + z = 12 · x + 2y + 3z = 14 · 2x + 2y + 2z = 30 · x + y + z = 18
4. Which of the following points lies on the line represented by the vector equation r = (1, 2, 3) + t(4, 5, 6)?
(5, 7, 9) · (1, 2, 3) · (0, 0, 0) · (4, 5, 6)
5. The angle between the lines given by the direction ratios (1, 2, 3) and (4, 5, 6) is:
90 degrees · 45 degrees · 60 degrees · 30 degrees
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