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

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Learning

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).

💡 Hint: Use the point and direction ratios to construct the equations.

Question 2

Easy

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

💡 Hint: Substitute λ 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 λ in parametric equations?

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

💡 Hint: Think about how λ 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

💡 Hint: Recall how changing λ 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).

💡 Hint: Start with the point coordinates and add the direction ratios scaled by λ.

Question 2

Two lines are parametrically defined as L₁: (x, y, z) = (1 + t, 2 + 2t, 3 + 3t) and L₂: (x, y, z) = (4 - s, 5 - 2s, 6 + s). Determine if these lines intersect.

💡 Hint: Formulate a system of equations and check for solutions.

Challenge and get performance evaluation