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

7.2 - Distance Formula

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

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

💡 Hint: Use the Distance Formula.

Question 2 Easy

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

💡 Hint: Find the differences in both coordinates.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the formula to calculate the distance between two points?

d = √[(x2 - x1)² + (y2 - y1)²]
d = (x2 - x1) + (y2 - y1)
d = (x2 + x1) - (y2 + y1)

💡 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

💡 Hint: Consider what distance means in everyday terms.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

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

💡 Hint: Use the Distance Formula and triangle inequality theorem.

Challenge 2 Hard

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

💡 Hint: Consider the relationship of the coordinates towards zero.

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