Advertisements
Advertisements
प्रश्न
On which axis do the following points lie?
R(−4,0)
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
If (−2, 3), (4, −3) and (4, 5) are the mid-points of the sides of a triangle, find the coordinates of its centroid.
Determine the ratio in which the straight line x - y - 2 = 0 divides the line segment
joining (3, -1) and (8, 9).
If three consecutive vertices of a parallelogram are (1, -2), (3, 6) and (5, 10), find its fourth vertex.
The line joining the points (2, 1) and (5, -8) is trisected at the points P and Q. If point P lies on the line 2x - y + k = 0. Find the value of k.
Show that the following points are the vertices of a rectangle
A (0,-4), B(6,2), C(3,5) and D(-3,-1)
In what ratio is the line segment joining A(2, -3) and B(5, 6) divide by the x-axis? Also, find the coordinates of the pint of division.
The base QR of a n equilateral triangle PQR lies on x-axis. The coordinates of the point Q are (-4, 0) and origin is the midpoint of the base. Find the coordinates of the points P and R.
Points A(-1, y) and B(5,7) lie on the circle with centre O(2, -3y).Find the value of y.
If the points A (2,3), B (4,k ) and C (6,-3) are collinear, find the value of k.
The abscissa and ordinate of the origin are
The ordinate of any point on x-axis is
The abscissa of a point is positive in the
If (0, −3) and (0, 3) are the two vertices of an equilateral triangle, find the coordinates of its third vertex.
Find the value of k if points A(k, 3), B(6, −2) and C(−3, 4) are collinear.
Find the distance between the points \[\left( - \frac{8}{5}, 2 \right)\] and \[\left( \frac{2}{5}, 2 \right)\] .
Find the value of a so that the point (3, a) lies on the line represented by 2x − 3y + 5 = 0
If A(4, 9), B(2, 3) and C(6, 5) are the vertices of ∆ABC, then the length of median through C is
If P(2, 4), Q(0, 3), R(3, 6) and S(5, y) are the vertices of a parallelogram PQRS, then the value of y is
If segment AB is parallel Y-axis and coordinates of A are (1, 3), then the coordinates of B are ______
In which quadrant, does the abscissa, and ordinate of a point have the same sign?
