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Important Questions

Coordinate Geometry — Important Questions

Telangana Board · Class 10 · Mathematics

44 important questions from Coordinate Geometry for Telangana Board Class 10 Mathematics, with answers. Written for the board exams 2027.

44 questions34 flashcards11 formulas & key relations5 concepts

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44 Questions·
multiple choicemultiple correct

Important Questions from Coordinate Geometry

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?
Key topics in Coordinate Geometry include Distance Between Points, Section Formula, Midpoint, and Trisection, Centroid of a Triangle, Area of a Triangle and Collinearity. Study these first, then practise questions on each for the Telangana Board Class 10 board exam.
How many important questions are there in Coordinate Geometry?
Super Tutor has 44 practice questions for Coordinate Geometry, including multiple choice, multiple correct questions. A sample with answers is on this page.

Sources & Official References

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

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All Telangana Board Class 10 Mathematics Important Questions

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