# 9th Class Math Chapter 9 Introduction To Coordinate Geometry Short Questions Answer

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## 9th Class Math Chapter 9 Introduction To Coordinate Geometry Short Questions Answer

Solution:

A (6,3), B (3,– 3)

|AB| = √(3 – 6)² + (–3 – 3)²

= √(–3)² + (–6)²

= √9+36

= √45

A (7,5), B (1,–1)

|AB| = √(7 – 1)²+(5 – 1)²

= √(6)²+(6)²

=√36+36

=√72

=6√2

A (0,0), B (–4,–3)

|AB| = √(0+4)²+(0+3)²

= √(4)²+(3)²

= √16+9

= √25

= 5

Solution:

(6, 6), (4, – 2)

Mid-Point M is (x₁ + x₂/2 , y₁ + y₂/2)

(6+4/2 , 6–2/2)

or (10/2 , 4/2)

or (5, 2).

(–5,–7),(–7, –5)

Mid-Point M is (x₁ + x₂/2 , y₁ + y₂/2)

(–5–7/2 , –7–5/2)

or (–12/2 , –12/2)

or (–6, –6).

(8, 0), (0, –12)

Mid-Point M is (x₁ + x₂/2 , y₁ + y₂/2)

(8+0/2 , 0–12/2)

or (8/2, –12/2)

or (–4, –6).

Coordinate geometry:

Coordinate geometry is the study of geometrical shapes the Cartesian plane (or coordinate plane)

Collinear:

Two or more than two points which lie on the same straight line are called collinear points with respect to that line.

Non-Collinear:

The point which do not on the same straight line are called Non-collinear.

Equilateral Triangle:

If the length of all three sides of a triangle is some, then the triangle is called an equilateral triangle.

Scalene Triangle:

A triangle is called scalene triangle if measure of all the three sides are different.

Isosceles Triangle:

An isosceles triangle is a triangle which has two of its sides with equal length while the third side has different length.

Right Triangle:

A triangle in which one of the angles has measure equal to 90° is called right triangle.

Square:

A square is a closed figure formed by four non-collinear points such that lengths of all sides are equal and measure of each angle is 90°.