CBSE Class 9  >  Class 9 Notes  >  Mathematics (Maths)   >  PPT: Coordinate Geometry

PPT: Coordinate Geometry

Download, print and study this document offline
Please wait while the PDF view is loading
 Page 1


C O O R D I N A T E C O O R D I N A T E
G E O M E T R Y G E O M E T R Y
Page 2


C O O R D I N A T E C O O R D I N A T E
G E O M E T R Y G E O M E T R Y
W H A T I S C O O R D I N A T E
G E O M E T R Y
Coordinate geometry is the
branch of mathematics where we
study the position of an object
on a plane with reference to two
mutually perpendicular lines in
the same plane.
Page 3


C O O R D I N A T E C O O R D I N A T E
G E O M E T R Y G E O M E T R Y
W H A T I S C O O R D I N A T E
G E O M E T R Y
Coordinate geometry is the
branch of mathematics where we
study the position of an object
on a plane with reference to two
mutually perpendicular lines in
the same plane.
W H A T I S C O O R D I N A T E
G E O M E T R Y
The position of a point is located on a
plane by drawing two lines mutually
perpendicular to each other.
The plane is called the cartesian or
coordinate plane and the mutually
perpendicular lines are called axes.
The horizontal line is called the x-axis
and the vertical line is called the y-axis.
Page 4


C O O R D I N A T E C O O R D I N A T E
G E O M E T R Y G E O M E T R Y
W H A T I S C O O R D I N A T E
G E O M E T R Y
Coordinate geometry is the
branch of mathematics where we
study the position of an object
on a plane with reference to two
mutually perpendicular lines in
the same plane.
W H A T I S C O O R D I N A T E
G E O M E T R Y
The position of a point is located on a
plane by drawing two lines mutually
perpendicular to each other.
The plane is called the cartesian or
coordinate plane and the mutually
perpendicular lines are called axes.
The horizontal line is called the x-axis
and the vertical line is called the y-axis.
The 'x-coordinate' of a
point is called the
abscissa.
The 'y-coordinate' of a
point is called the
ordinate.
The abscissa of every
point is 0 on the y-axis
and the ordinate of every
point is 0 on the x-axis.
The coordinates of the
origin are (0, 0).
Page 5


C O O R D I N A T E C O O R D I N A T E
G E O M E T R Y G E O M E T R Y
W H A T I S C O O R D I N A T E
G E O M E T R Y
Coordinate geometry is the
branch of mathematics where we
study the position of an object
on a plane with reference to two
mutually perpendicular lines in
the same plane.
W H A T I S C O O R D I N A T E
G E O M E T R Y
The position of a point is located on a
plane by drawing two lines mutually
perpendicular to each other.
The plane is called the cartesian or
coordinate plane and the mutually
perpendicular lines are called axes.
The horizontal line is called the x-axis
and the vertical line is called the y-axis.
The 'x-coordinate' of a
point is called the
abscissa.
The 'y-coordinate' of a
point is called the
ordinate.
The abscissa of every
point is 0 on the y-axis
and the ordinate of every
point is 0 on the x-axis.
The coordinates of the
origin are (0, 0).
Q U A D R A N T
T h e a x e s ( p l u r a l o f t h e w o r d ‘ a x i s ’ ) d i v i d e t h e p l a n e i n t o
f o u r p a r t s . T h e s e f o u r p a r t s a r e c a l l e d t h e q u a d r a n t s
( 1 / 4 ) , n u m b e r e d I , I I , I I I a n d I V a n t i c l o c k w i s e f r o m O X .
Read More

FAQs on PPT: Coordinate Geometry

1. How do I plot points on a coordinate plane for Class 9 CBSE?
Ans. To plot a point on the coordinate plane, identify its x-coordinate (horizontal position) and y-coordinate (vertical position) written as (x, y). Start at the origin, move right or left along the x-axis by the x-value, then move up or down along the y-axis by the y-value. Mark the intersection point. The coordinate system divides the plane into four quadrants, each with specific sign combinations for ordered pairs.
2. What's the difference between the x-axis and y-axis in coordinate geometry?
Ans. The x-axis is the horizontal line running left-right, measuring distance horizontally from the origin. The y-axis is the vertical line running up-down, measuring distance vertically. Together, these perpendicular axes form the Cartesian plane. Every point's location is determined by its perpendicular distance from both axes, expressed as coordinates (x, y) in the coordinate system.
3. How do I find the distance between two points using the distance formula?
Ans. The distance formula calculates the straight-line distance between two points: d = √[(x₂-x₁)² + (y₂-y₁)²]. Subtract the x-coordinates, subtract the y-coordinates, square both differences, add them, then take the square root. This formula works for all points on the coordinate plane regardless of their quadrant position.
4. Why do I keep making mistakes with negative coordinates in different quadrants?
Ans. Negative coordinates confuse students because signs change by quadrant: Quadrant I (+,+), Quadrant II (-,+), Quadrant III (-,-), Quadrant IV (+,-). Remember: the first number's sign shows left/right direction, the second shows up/down direction. Refer to mind maps and flashcards on EduRev to visualise quadrant patterns and strengthen coordinate recognition before solving problems.
5. How do I use the section formula to find a point that divides a line segment?
Ans. The section formula locates a point dividing a line segment internally in a specific ratio. If point P divides the segment joining (x₁, y₁) and (x₂, y₂) in ratio m:n, then P = [(mx₂+nx₁)/(m+n), (my₂+ny₁)/(m+n)]. This coordinate geometry concept helps find midpoints, trisection points, and other division positions on line segments.
Explore Courses for Class 9 exam
Related Searches
mock tests for examination, pdf , Objective type Questions, shortcuts and tricks, practice quizzes, Extra Questions, Exam, Sample Paper, past year papers, PPT: Coordinate Geometry, video lectures, Summary, Free, PPT: Coordinate Geometry, study material, PPT: Coordinate Geometry, Semester Notes, Previous Year Questions with Solutions, Important questions, ppt, Viva Questions, MCQs;