Practice Parametric Form - 5.2 | Chapter 6: Three Dimensional Geometry | ICSE Class 12 Mathematics
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5.2 - Parametric Form

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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Write the parametric equations for a line that passes through (2, 3, 4) with direction ratios (1, 2, 3).

πŸ’‘ Hint: Use the point and direction ratios to construct the equations.

Question 2

Easy

If Ξ» = 2 for the previous equations, what are the coordinates?

πŸ’‘ Hint: Substitute Ξ» into your parametric equations.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What is the meaning of the parameter Ξ» in parametric equations?

  • A constant value
  • A variable that determines positions
  • The line's slope

πŸ’‘ Hint: Think about how Ξ» controls the points on the line.

Question 2

True or False: The parametric equations for a line in space can be used to find the coordinates of any point on the line.

  • True
  • False

πŸ’‘ Hint: Recall how changing Ξ» affects point locations.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Find the parametric equations of a line if it passes through (2, 3, 4) and is parallel to the vector (1, 2, 1).

πŸ’‘ Hint: Start with the point coordinates and add the direction ratios scaled by Ξ».

Question 2

Two lines are parametrically defined as L₁: (x, y, z) = (1 + t, 2 + 2t, 3 + 3t) and Lβ‚‚: (x, y, z) = (4 - s, 5 - 2s, 6 + s). Determine if these lines intersect.

πŸ’‘ Hint: Formulate a system of equations and check for solutions.

Challenge and get performance evaluation