Advertisements
Advertisements
Question
On which axis do the following points lie?
S(0,5)
Advertisements
Solution
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 S (0, 5). Comparing this with the standard form of (x, y) we have
x = 0
y = 5
Here we see that `x = 0, y != 0`
Hence the given point lies on the y-axis
APPEARS IN
RELATED QUESTIONS
The base PQ of two equilateral triangles PQR and PQR' with side 2a lies along y-axis such that the mid-point of PQ is at the origin. Find the coordinates of the vertices R and R' of the triangles.
If (−2, 3), (4, −3) and (4, 5) are the mid-points of the sides of a triangle, find the coordinates of its centroid.
Find the coordinates of the circumcentre of the triangle whose vertices are (3, 0), (-1, -6) and (4, -1). Also, find its circumradius.
Prove that the points (3, -2), (4, 0), (6, -3) and (5, -5) are the vertices of a parallelogram.
Prove that the diagonals of a rectangle ABCD with vertices A(2,-1), B(5,-1) C(5,6) and D(2,6) are equal and bisect each other
A point whose abscissa and ordinate are 2 and −5 respectively, lies in
Find the value of k, if the points A(7, −2), B (5, 1) and C (3, 2k) are collinear.
If the distance between points (x, 0) and (0, 3) is 5, what are the values of x?
Write the formula for the area of the triangle having its vertices at (x1, y1), (x2, y2) and (x3, y3).
Write the condition of collinearity of points (x1, y1), (x2, y2) and (x3, y3).
Find the distance between the points \[\left( - \frac{8}{5}, 2 \right)\] and \[\left( \frac{2}{5}, 2 \right)\] .
If P (x, 6) is the mid-point of the line segment joining A (6, 5) and B (4, y), find y.
The distance between the points (cos θ, 0) and (sin θ − cos θ) is
If the points P (x, y) is equidistant from A (5, 1) and B (−1, 5), then
The length of a line segment joining A (2, −3) and B is 10 units. If the abscissa of B is 10 units, then its ordinates can be
In the above figure, seg PA, seg QB and RC are perpendicular to seg AC. From the information given in the figure, prove that: `1/x + 1/y = 1/z`
Write the X-coordinate and Y-coordinate of point P(– 5, 4)
The point at which the two coordinate axes meet is called the ______.
Abscissa of a point is positive in ______.
