06 - Let's Recap - Coordinate Geometry - Class 10 - Maths Class 10 Notes | EduRev
Mathematics (Maths) Class 10
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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