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°.
