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Class 9 Mathematics — Chapter 3: Coordinate Geometry

90 practice questions · 30 Easy · 30 Medium · 30 Hard

Free NCERT-aligned multiple-choice practice for Class 9 Mathematics, Chapter 3 (Coordinate Geometry). Practise timed Easy, Medium and Hard quizzes with instant explanations — built for CBSE Board exams, JEE Main and NEET UG. Here are a few sample questions; sign in free to practise all 90.

Sample questions

Q1Easy

The coordinates of the origin are:

A.(1,1)
B.(0,1)
C.(0,0)✓ correct
D.(1,0)
Why

The origin is the intersection of the x-axis and y-axis, so its coordinates are (0,0).

Q2Medium

Three points A(1,2), B(3,4), C(5,6) are:

A.Vertices of a triangle
B.Collinear (on the same line)✓ correct
C.Vertices of a square
D.None of these
Why

Slope AB=(4−2)/(3−1)=1; Slope BC=(6−4)/(5−3)=1. Equal slopes → collinear.

Q3Hard

Show that A(5,−2), B(6,4), C(7,−2) are vertices of an isosceles triangle. Which two sides are equal?

A.AB = BC✓ correct
B.AB = AC
C.BC = AC
D.None
Why

AB = √(1+36)=√37. BC = √(1+36)=√37. AC = √(4+0)=2. So AB = BC = √37, hence isosceles.

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