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Distance Formula

ICSE · Class 9 · Mathematics

Practice quiz for Distance Formula — ICSE Class 9 Mathematics. MCQs and questions with answers to test your preparation.

33 questions24 flashcards5 concepts

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A 3D diagram showing three points A, B, and C that lie on the same straight line, illustrating the concept of collinearity.
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Quick Quiz: Distance Formula

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1

Find the distance between points A(3, 4) and B(7, 1).

2

What is the distance of point P(-5, 12) from the origin?

3

Find the distance between points M(2, -3) and N(-1, 1).

4

The point (4, 0) lies on which axis?

33 Questions·
multiple choicemultiple correct

Sample Questions

1multiple correct

Which of the following points are at a distance of 5 units from the origin?

Show answer

(3, 4), (0, 5), (-3, -4)

Check each: (3,4): √[9+16] = 5 ✓, (0,5): √[0+25] = 5 ✓, (-3,-4): √[9+16] = 5 ✓, (5,5): √[25+25] = 5√2 ≠ 5, (2,3): √[4+9] = √13 ≠ 5

2multiple correct

If the distance between points (a, 2) and (3, 6) is 5 units, find the possible values of 'a'.

Show answer

a = 0, a = 6

Using distance formula: 5 = √[(3-a)² + (6-2)²] → 25 = (3-a)² + 16 → (3-a)² = 9 → 3-a = ±3 → a = 0 or a = 6

3multiple choice

Find the distance between points A(-2, -5) and B(1, -1).

Show answer

5 units

Distance = √[(1-(-2))² + (-1-(-5))²] = √[(3)² + (4)²] = √[9 + 16] = √25 = 5 units

4multiple choice

Which point on the x-axis is equidistant from A(3, 4) and B(7, 2)?

Show answer

(6, 0)

Let point be (x, 0). Setting distances equal: √[(x-3)² + 16] = √[(x-7)² + 4] → (x-3)² + 16 = (x-7)² + 4 → x² - 6x + 9 + 16 = x² - 14x + 49 + 4 → 8x = 48 → x = 6

+29 more questions available

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Frequently Asked Questions

What are the important topics in Distance Formula for ICSE Class 9 Mathematics?
Distance Formula covers several key topics that are frequently asked in ICSE Class 9 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Distance Formula — ICSE Class 9 Mathematics?
Understand the core concepts first, then work through the 33 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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