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Coordinate Geometry

Telangana Board · Class 10 · Mathematics

Practice quiz for Coordinate Geometry — Telangana Board Class 10 Mathematics. MCQs and questions with answers to test your preparation.

45 questions20 flashcards5 concepts

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Quick Quiz: Coordinate Geometry

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1

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

2

What is the midpoint of the line segment joining points P(2, 6) and Q(8, 2)?

3

Find the area of triangle with vertices A(0, 0), B(4, 0), and C(2, 3).

4

In which ratio does point P(3, 1) divide the line segment joining A(1, -1) and B(7, 5)?

45 Questions·
multiple choicemultiple correct

Sample Questions

1multiple choice

Find the slope of the line passing through points (2, 3) and (5, 9).

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2

Slope m = (y₂-y₁)/(x₂-x₁) = (9-3)/(5-2) = 6/3 = 2. The line rises 6 units for every 3 units horizontally. Common mistake: reversing the numerator and denominator.

2multiple correct

Which of the following points lie on the line segment joining A(1, 2) and B(5, 6)? (Select all correct answers)

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(2, 3), (3, 4), (4, 5)

Points on line AB have slope = (6-2)/(5-1) = 1. Check each: (2,3): slope from A = (3-2)/(2-1) = 1 ✓; (3,4): slope = (4-2)/(3-1) = 1 ✓; (4,5): slope = (5-2)/(4-1) = 1 ✓; (2,4): slope = (4-2)/(2-1) = 2 ✗; (6,8): outside segment range.

3multiple choice

The centroid of triangle with vertices (3, 4), (7, 8), and (5, 2) is:

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(5, 14/3)

Centroid = ((x₁+x₂+x₃)/3, (y₁+y₂+y₃)/3) = ((3+7+5)/3, (4+8+2)/3) = (15/3, 14/3) = (5, 14/3). Common mistake: not dividing by 3 or making arithmetic errors.

4multiple choice

If three points A(1, 2), B(3, 6), and C(k, 10) are collinear, find the value of k.

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5

For collinear points, slopes between any two pairs must be equal. Slope AB = (6-2)/(3-1) = 4/2 = 2. Slope BC = (10-6)/(k-3) = 4/(k-3). Setting equal: 2 = 4/(k-3), so 2(k-3) = 4, 2k-6 = 4, 2k = 10, k = 5.

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Frequently Asked Questions

What are the important topics in Coordinate Geometry for Telangana Board Class 10 Mathematics?
Coordinate Geometry covers several key topics that are frequently asked in Telangana Board Class 10 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Coordinate Geometry — Telangana Board Class 10 Mathematics?
Understand the core concepts first, then work through the 45 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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