Agniveer Army Coordinate Geometry — practice questions

Explore 8 free Coordinate Geometry questions in Agniveer Army Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Coordinate Geometry questions and exercises with answers

Showing questions 1–8 of 8.

Worked practice questions

A triangle is formed by the vertices (4,1), (1,1) and (3,5). The triangle is:

Scalene
Isosceles and right-angled
Right-angled but not isosceles
Isosceles but not right-angled

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Correct answer: A. Scalene

1. Side lengths: (4,1)-(1,1) = 3; (1,1)-(3,5) = √(4+16) = √20; (4,1)-(3,5) = √(1+16) = √17. 2. All three sides differ, so it is not isosceles; check right angle: 9 + 17 = 26 ≠ 20, 9 + 20 = 29 ≠ 17, 17 + 20 = 37 ≠ 9, so no right angle. 3. Hence the triangle is scalene. _Source: RRB Group D CEN-02/2018 PYQ, Q.94._

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The area of the triangle whose vertices are (1, 2), (-4, -3) and (4, 1) is:

7 sq. units
20 sq. units
14 sq. units
10 sq. units

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Correct answer: D. 10 sq. units

1. Area = (1/2)|x1(y2-y3) + x2(y3-y1) + x3(y1-y2)|. 2. = (1/2)|1(-3-1) + (-4)(1-2) + 4(2-(-3))| = (1/2)|-4 + 4 + 20|. 3. = (1/2)(20) = 10 sq. units. _Source: RRB Group D CEN-02/2018 PYQ, Q.19._

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Complete the definition of slope

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Missing parts

Answer
y
Choices
1. y
2. x
3. angle
Answer
x
Choices
1. x
2. y
3. slope

Complete the statement

The slope of a non-vertical line through (x₁,y₁) and (x₂,y₂) is the difference in {0} divided by the difference in {1}.

Slope is a ratio of differences, and it needs the line to be non-vertical. Source: syllabus Maths, Ch 9 Straight Lines.

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