Answer the following questions
(i) Find the distance between origin and (7,4).
(i) Find the midpoint of the line segment joining the points (2,7) and (12,-7)
Solution:
(i)
Distance between the origin (0. 0) and (7, 4)
= $\sqrt{{(7 - 0)}^2 + ({4 - 0})^2}$
= $\sqrt{{7}^2 + {4 }^2}$
=$\sqrt{49 + 16}$
=$\sqrt(65)$
= 8.06 units
The distance between the origin (0. 0) and (7, 4) is 8.06 units
ii)
The midpoint of the line segment joining the points (2,7) and (12,-7)
=[$ \frac{2 + 12}{2}, \frac{7-7}{2}$]
= $ \frac{14}{2}, \frac{0}{2}$
= (7, 0)
The midpoint of the line segment joining the points (2,7) and (12,-7) is (7, 0)
Related Articles
- Find the points of trisection of the line segment joining the points:$(5, -6)$ and $(-7, 5)$
- Find the points of trisection of the line segment joining the points:$(2, -2)$ and $(-7, 4)$
- Find the mid point of the line segment joining the points $( -5,\ 7)$ and $( -1,\ 3)$.
- Find the equation of the perpendicular bisector of the line segment joining points $(7, 1)$ and $(3, 5)$.
- Find the points of trisection of the line segment joining the points:$(3, -2)$ and $(-3, -4)$
- Find the mid point of the line segment joining the points $( 0,\ 0)$ and $( -2,\ -4)$.
- Find the mid point of the line segment joining the points $( 0,\ 0)$ and $( 2,\ 2)$.
- Show that the mid-point of the line segment joining the points $(5, 7)$ and $(3, 9)$ is also the mid-point of the line segment joining the points $(8, 6)$ and $(0, 10)$.
- Find the distance of the point $(1, 2)$ from the mid-point of the line segment joining the points $(6, 8)$ and $(2, 4)$.
- Find the coordinates of the points of trisection of the line segment joining $(4, -1)$ and $(-2, -3)$.
- Find the distance between the following pair of points:$(-6, 7)$ and $(-1, -5)$
- Find the ratio in which the points $(2, y)$ divides the line segment joining the points $A (-2, 2)$ and $B (3, 7)$. Also, find the value of $y$.
- Find the point which divides the line segment joining the points $(7,\ –6)$ and $(3,\ 4)$ in ratio 1 : 2 internally.
- Find the mid-point of the line segment joining the points $A ( -2,\ 8)$ and $B ( -6,\ -4)$.
- Find the ratio in which the y-axis divides line segment joining the points $( -4,\ -6)$ and $( 10,\ 12)$. Also find the coordinates of the point of division.
Kickstart Your Career
Get certified by completing the course
Get Started