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# 06 - Let's Recap - Coordinate Geometry - Class 10 - Maths Class 10 Notes | EduRev

## Class 10 : 06 - Let's Recap - Coordinate Geometry - Class 10 - Maths Class 10 Notes | EduRev

``` Page 1

(Coordinate geometry is used to locate the position of a point on a plane with the
help of a pair of coordinate axes)

1. Coordinate Axes: Let      and      be two perpendicular lines
intersecting at O. The point O is called the origin and      (x-axis)
and      (y-axis) are called coordinate axes.

2. The distance of a point from the x-axis is called its y-coordinate, or
ordinate.

3. The distance of a point from the y-axis is called its x-coordinate, or
abscissa.

4. Distance formula:

a. Distance between two points [suppose, A(

) and B(

)] on a
plane
Page 2

(Coordinate geometry is used to locate the position of a point on a plane with the
help of a pair of coordinate axes)

1. Coordinate Axes: Let      and      be two perpendicular lines
intersecting at O. The point O is called the origin and      (x-axis)
and      (y-axis) are called coordinate axes.

2. The distance of a point from the x-axis is called its y-coordinate, or
ordinate.

3. The distance of a point from the y-axis is called its x-coordinate, or
abscissa.

4. Distance formula:

a. Distance between two points [suppose, A(

) and B(

)] on a
plane

(

)

(

)

v(

)

(

)

Note: Since distance is always non-negative, we take only the positive value of the
square root.

b. Distance of a point A(   ) from the origin O(   ) on a plane.

v

Page 3

(Coordinate geometry is used to locate the position of a point on a plane with the
help of a pair of coordinate axes)

1. Coordinate Axes: Let      and      be two perpendicular lines
intersecting at O. The point O is called the origin and      (x-axis)
and      (y-axis) are called coordinate axes.

2. The distance of a point from the x-axis is called its y-coordinate, or
ordinate.

3. The distance of a point from the y-axis is called its x-coordinate, or
abscissa.

4. Distance formula:

a. Distance between two points [suppose, A(

) and B(

)] on a
plane

(

)

(

)

v(

)

(

)

Note: Since distance is always non-negative, we take only the positive value of the
square root.

b. Distance of a point A(   ) from the origin O(   ) on a plane.

v

5. Section formula:
a. The coordinates of the point A(   ) which divides the line segment
PQ [where, P(

) and Q(

)], internally, in the ratio

are

(

)

Note: The coordinates of the point A(   ) can also be derived by drawing
perpendiculars from P, A and Q on the y-axis and proceeding as above.

b. If the ratio in which A(   ) divides PQ is k : 1, then the coordinates
of the point A will be

Page 4

(Coordinate geometry is used to locate the position of a point on a plane with the
help of a pair of coordinate axes)

1. Coordinate Axes: Let      and      be two perpendicular lines
intersecting at O. The point O is called the origin and      (x-axis)
and      (y-axis) are called coordinate axes.

2. The distance of a point from the x-axis is called its y-coordinate, or
ordinate.

3. The distance of a point from the y-axis is called its x-coordinate, or
abscissa.

4. Distance formula:

a. Distance between two points [suppose, A(

) and B(

)] on a
plane

(

)

(

)

v(

)

(

)

Note: Since distance is always non-negative, we take only the positive value of the
square root.

b. Distance of a point A(   ) from the origin O(   ) on a plane.

v

5. Section formula:
a. The coordinates of the point A(   ) which divides the line segment
PQ [where, P(

) and Q(

)], internally, in the ratio

are

(

)

Note: The coordinates of the point A(   ) can also be derived by drawing
perpendiculars from P, A and Q on the y-axis and proceeding as above.

b. If the ratio in which A(   ) divides PQ is k : 1, then the coordinates
of the point A will be

(

)

c. If the ratio in which A(   ) divides PQ is 1 : 1, then the coordinates
of the mid- point A will be (Also known as the Mid-point formula)

(

)      (

)
Page 5

(Coordinate geometry is used to locate the position of a point on a plane with the
help of a pair of coordinate axes)

1. Coordinate Axes: Let      and      be two perpendicular lines
intersecting at O. The point O is called the origin and      (x-axis)
and      (y-axis) are called coordinate axes.

2. The distance of a point from the x-axis is called its y-coordinate, or
ordinate.

3. The distance of a point from the y-axis is called its x-coordinate, or
abscissa.

4. Distance formula:

a. Distance between two points [suppose, A(

) and B(

)] on a
plane

(

)

(

)

v(

)

(

)

Note: Since distance is always non-negative, we take only the positive value of the
square root.

b. Distance of a point A(   ) from the origin O(   ) on a plane.

v

5. Section formula:
a. The coordinates of the point A(   ) which divides the line segment
PQ [where, P(

) and Q(

)], internally, in the ratio

are

(

)

Note: The coordinates of the point A(   ) can also be derived by drawing
perpendiculars from P, A and Q on the y-axis and proceeding as above.

b. If the ratio in which A(   ) divides PQ is k : 1, then the coordinates
of the point A will be

(

)

c. If the ratio in which A(   ) divides PQ is 1 : 1, then the coordinates
of the mid- point A will be (Also known as the Mid-point formula)

(

)      (

)

6. Area of a triangle:
a. The area of a triangle formed by the points P(

), Q(

) and
R(

) is the numerical value of the expression

[

(

)

(

)

(

)]

```
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## Crash Course for Class 10 Maths by Let's tute

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