Practice Distance Formula - 7.2 | 7. COORDINATE GEOMETRY | CBSE 10 Mathematics
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7.2 - Distance Formula

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the distance between the points (2, 3) and (4, 1)?

πŸ’‘ Hint: Use the Distance Formula.

Question 2

Easy

Calculate the distance between (0, 0) and (4, 4).

πŸ’‘ Hint: Find the differences in both coordinates.

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 formula to calculate the distance between two points?

  • d = √[(x2 - x1)Β² + (y2 - y1)Β²]
  • d = (x2 - x1) + (y2 - y1)
  • d = (x2 + x1) - (y2 + y1)

πŸ’‘ Hint: Think of how we measure length in terms of a triangle.

Question 2

True or False: The distance between any two points is always a positive number.

  • True
  • False

πŸ’‘ Hint: Consider what distance means in everyday terms.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given points A(2,3), B(4,5), and C(-1,-1). Prove whether the points form a triangle and classify the triangle.

πŸ’‘ Hint: Use the Distance Formula and triangle inequality theorem.

Question 2

Determine the distance from the point (-3, -4) to the point (1, 2), then calculate the point on the line towards the origin equidistantly.

πŸ’‘ Hint: Consider the relationship of the coordinates towards zero.

Challenge and get performance evaluation