Plot the point $P( -6,\ 2)$ and from it draw $PM$ and $PN$ as perpendicular to $x-axi$ & $y-axis$ respectively. Write the co-ordinates of the point $M$ & $N$.
Given: A point $P( -6,\ 2)$.
To do: Plot the point. Draw $PM$ and $PN$ as perpendicular to $x-axis$ and $y-axis$ respectively. Write coordinates of the points $M$ and $N$.
Solution:
i). Plot the point $P( -6,\ 2)$.
ii). Point $P( -6,\ 2)$ lies in second Quadrant.
iii). Draw $PM$ and $PN$ as perpendicular to $x-axis$ and $y-axis$ respectively.
Because Coordinates of $y$ on $x-axis$ is always $0$.
Therefore, Coordinates of $M=( -6,\ 0)$
Similarly, Coordinates of $x$ on $y-axis$ is always $0$.
Therefore, Coordinates of $N=( 0,\ 2)$.
Related Articles
- Write the Co-ordinates of a point which lies on y-axis and is at a distance of 3 units above x-axis. Represent on the graph.
- Write the Co-ordinates of a point which lies on the x-axis and is at a distance of 4 units to the right of origin. Draw its graph.
- The distance of the point $P (2,\ 3)$ from the x-axis is
- A line intersects the y-axis and x-axis at the points P and Q respectively. If $( 2,\ -5)$ is the mid-point then find the coordinates of P and Q.
- Find the point on the x-axis which is equidistant from $(2,\ -4)$ and $(-2,\ 6)$.
- Draw the graph of the equation $2x + 3y = 12$. From the graph find the co-ordinates of the point whose y-coordinates is $3$.
- Find the ratio in which the line segment joining $(-2, -3)$ and $(5, 6)$ is divided by y-axis. Also, find the co-ordinates of the point of division in each case.
- Draw the graph of the equation $2x + 3y = 12$. From the graph find the co-ordinates of the point whose x-coordinates is $-3$.
- The co-ordinates of the point P are $(-3,2)$. Find the coordinates of the point Q which lies on the line joining P and origin such that $OP = OQ$.
- Find the ratio in which the line segment joining $(-2, -3)$ and $(5, 6)$ is divided by x-axis. Also, find the co-ordinates of the point of division in each case.
- Find the distance of the point $P( -3,\ -4)$ from the $x-axis$.
- Find the distance of a point $P( x,\ y)$ from the origin.
- Draw a line $l$ and a point \( \mathrm{X} \) on it. Through \( \mathrm{X} \), draw a line segment \( \overline{\mathrm{XY}} \) perpendicular to $1$. Now draw a perpendicular to \( \overline{X Y} \) at Y. (use ruler and compasses)
- Draw line $l$. Take any point $P$ on the line. Using a set square, draw a line perpendicular to line $l$ at the point $P$.
Kickstart Your Career
Get certified by completing the course
Get Started
To Continue Learning Please Login
Login with Google