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Class XII Mathematics Quiz - Three Dimensional Geometry
Class XII
Mathematics
Three Dimensional Geometry
12 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 · 3√3 · √18
2. The direction ratios of the line joining the points (1, 2, 3) and (4, 5, 6) are:
3, 3, 3 · 1, 1, 1 · 2, 2, 2 · 0, 0, 0
3. If the point P(2, 3, 4) lies on the line represented by the equations x = 1 + 2t, y = 2 + 3t, z = 3 + 4t, what is the value of t?
1 · 2 · 0 · 3
4. The equation of the plane passing through the point (1, 2, 3) and perpendicular to the vector (4, 5, 6) is:
4x + 5y + 6z = 32 · 4x + 5y + 6z = 30 · 4x + 5y + 6z = 28 · 4x + 5y + 6z = 34
5. The angle between the lines represented by the direction ratios (1, 2, 3) and (4, 5, 6) is given by:
cos⁻¹(1/√14) · cos⁻¹(32/√14) · cos⁻¹(12/√14) · cos⁻¹(10/√14)
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