PU E 2026 Analytical Geometry in Three Dimensions Free Quiz 2

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PU E 2026 Analytical Geometry in Three Dimensions Free Quiz 2

PU E Quiz

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Remaining: 7

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General 7 MCQs

11. What are the equations of a line in 3D?

A. (x - x₁)/a = (y - y₁)/b = (z - z₁)/c B. x = x₁ + at, y = y₁ + bt, z = z₁ + ct C. Both are correct D. Neither

12. What is the parametric form of a line in 3D?

A. (x - x₁)/a = (y - y₁)/b = (z - z₁)/c B. x = x₁ + at, y = y₁ + bt, z = z₁ + ct C. Both are correct D. Neither

13. When are two lines perpendicular in 3D?

A. Cross product is 0 B. Dot product is 1 C. Cross product is 1 D. Dot product is 0

14. What is the distance from the origin to (x, y, z)?

A. √(x² + y² + z²) B. x + y + z C. x² + y² + z² D. √(x² + y²)

15. What is the equation of a sphere?

A. (x - h)² + (y - k)² = r² B. (x - h)² + (y - k)² + (z - l)² = r² C. (x - h)² + (y - k)² + (z - l)² = r D. (x + h)² + (y + k)² + (z + l)² = r²

16. What is the center of x² + y² + z² + 2gx + 2fy + 2hz + d = 0?

A. (g, f, h) B. (-g, -f, h) C. (-g, -f, -h) D. (g, f, -h)

17. What is the radius of the sphere?

A. √(g² + f² + h² + d) B. g² + f² + h² - d C. g² + f² + h² + d D. √(g² + f² + h² - d)

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