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Important Questions

Distance Formula — Important Questions

ICSE · Class 9 · Mathematics

33 important questions from Distance Formula for ICSE Class 9 Mathematics, with answers. Includes multiple choice and multiple correct questions.

33 questions24 flashcards7 formulas & key relations5 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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33 Questions·
multiple choicemultiple correct

Important Questions from Distance Formula

1multiple correct

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

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(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 on Distance Formula (ICSE Class 9 Mathematics)

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Frequently Asked Questions

What are the important topics in Distance Formula for ICSE Class 9 Mathematics?
Key topics in Distance Formula include Distance Formula and Its Meaning, Solved Distance Problems, Collinearity, Triangle Properties, and Special Figures, Circumcentre of a Triangle. Study these first, then practise questions on each for Class 9 exams.
How many important questions are there in Distance Formula?
Super Tutor has 33 practice questions for Distance Formula, including multiple choice, multiple correct questions. A sample with answers is on this page.

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

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All ICSE Class 9 Mathematics Important Questions

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