Advertisements
Advertisements
प्रश्न
On which axis do the following points lie?
R(−4,0)
Advertisements
उत्तर
According to the Rectangular Cartesian Co-ordinate system of representing a point (x, y),
If x > 0, y > 0 then the point lies in the 1st quadrant
If x < 0, y > 0 then the point lies in the 2nd quadrant
If x < 0, y < 0 then the point lies in the 3rd quadrant
If x > 0, y < 0 then the point lies in the 4th quadrant
But in case
if `x = 0, y != 0`then the point lies on the y-axis
if `y =0, x != 0` then the point lies on the x-axis
Here the point is given to be R (-4, 0). Comparing this with the standard form of (x, y) we have
x = -4
y = 0
Here we see that `y = 0, x != 0`
Hence the given point lies on the x-axis
APPEARS IN
संबंधित प्रश्न
(Street Plan): A city has two main roads which cross each other at the centre of the city. These two roads are along the North-South direction and East-West direction.
All the other streets of the city run parallel to these roads and are 200 m apart. There are 5 streets in each direction. Using 1cm = 200 m, draw a model of the city on your notebook. Represent the roads/streets by single lines.
There are many cross- streets in your model. A particular cross-street is made by two streets, one running in the North - South direction and another in the East - West direction. Each cross street is referred to in the following manner : If the 2nd street running in the North - South direction and 5th in the East - West direction meet at some crossing, then we will call this cross-street (2, 5). Using this convention, find:
- how many cross - streets can be referred to as (4, 3).
- how many cross - streets can be referred to as (3, 4).
Name the quadrilateral formed, if any, by the following points, and given reasons for your answers:
A(-1,-2) B(1, 0), C (-1, 2), D(-3, 0)
Name the quadrilateral formed, if any, by the following points, and given reasons for your answers:
A(-3, 5) B(3, 1), C (0, 3), D(-1, -4)
Find the equation of the perpendicular bisector of the line segment joining points (7, 1) and (3,5).
The points A(2, 0), B(9, 1) C(11, 6) and D(4, 4) are the vertices of a quadrilateral ABCD. Determine whether ABCD is a rhombus or not.
If the coordinates of the mid-points of the sides of a triangle be (3, -2), (-3, 1) and (4, -3), then find the coordinates of its vertices.
In what ratio does the point (−4, 6) divide the line segment joining the points A(−6, 10) and B(3,−8)?
If the poin A(0,2) is equidistant form the points B (3, p) and C (p ,5) find the value of p. Also, find the length of AB.
The midpoint of the line segment joining A (2a, 4) and B (-2, 3b) is C (1, 2a+1). Find the values of a and b.
Find the area of a quadrilateral ABCD whose vertices area A(3, -1), B(9, -5) C(14, 0) and D(9, 19).
Find the centroid of ΔABC whose vertices are A(2,2) , B (-4,-4) and C (5,-8).
A point whose abscissa and ordinate are 2 and −5 respectively, lies in
Points (−4, 0) and (7, 0) lie
The perpendicular distance of the point P (4, 3) from x-axis is
Write the coordinates of the point dividing line segment joining points (2, 3) and (3, 4) internally in the ratio 1 : 5.
If the centroid of the triangle formed by points P (a, b), Q(b, c) and R (c, a) is at the origin, what is the value of a + b + c?
Find the distance between the points \[\left( - \frac{8}{5}, 2 \right)\] and \[\left( \frac{2}{5}, 2 \right)\] .
The area of the triangle formed by (a, b + c), (b, c + a) and (c, a + b)
The coordinates of a point on x-axis which lies on the perpendicular bisector of the line segment joining the points (7, 6) and (−3, 4) are
What is the form of co-ordinates of a point on the X-axis?
