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Class XI Mathematics - Introduction to Three Dimensional Geometry

Class XI
Mathematics
Introduction to Three Dimensional Geometry
10 questions
MEDIUM

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Preview questions

1. What is the general form of a point in three-dimensional geometry?

(x, y) · (x, y, z) · (x, y, w) · (x, y, t)

2. How many coordinates are required to specify a point in three-dimensional space?

1 · 2 · 3 · 4

3. What is the distance formula between two points A(x1, y1, z1) and B(x2, y2, z2)?

√((x2-x1)² + (y2-y1)²) · √((x2-x1)² + (y2-y1)² + (z2-z1)²) · √((x2+x1)² + (y2+y1)²) · √((x2-x1)² + (z2-z1)²)

4. What is the equation of a line in three-dimensional geometry given two points?

x = x0 + at, y = y0 + bt, z = z0 + ct · x = x0 + bt, y = y0 + at, z = z0 + ct · x = x0 + ct, y = y0 + bt, z = z0 + at · x = x0 + at, y = y0 + ct, z = z0 + bt

5. Which of the following represents a plane in three-dimensional space?

ax + by + cz = d · ax + by = c · a + b + c = d · x² + y² + z² = r²