Advertisements
Advertisements
प्रश्न
On which axis do the following points lie?
S(0,5)
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 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
संबंधित प्रश्न
Find the centre of the circle passing through (5, -8), (2, -9) and (2, 1).
If two opposite vertices of a square are (5, 4) and (1, −6), find the coordinates of its remaining two vertices.
Find the point on x-axis which is equidistant from the points (−2, 5) and (2,−3).
In the seating arrangement of desks in a classroom three students Rohini, Sandhya and Bina are seated at A(3, 1), B(6, 4), and C(8, 6). Do you think they are seated in a line?
Find the ratio in which the line segment joining (-2, -3) and (5, 6) is divided by x-axis Also, find the coordinates of the point of division in each case.
Prove that the points (4, 5) (7, 6), (6, 3) (3, 2) are the vertices of a parallelogram. Is it a rectangle.
Show hat A(1,2), B(4,3),C(6,6) and D(3,5) are the vertices of a parallelogram. Show that ABCD is not rectangle.
The line segment joining the points A(3,−4) and B(1,2) is trisected at the points P(p,−2) and Q `(5/3,q)`. Find the values of p and q.
Find the ratio in which the line segment joining the points A (3, 8) and B (–9, 3) is divided by the Y– axis.
Point P(x, 4) lies on the line segment joining the points A(−5, 8) and B(4, −10). Find the ratio in which point P divides the line segment AB. Also find the value of x.
Find the area of the quadrilateral ABCD, whose vertices are A(−3, −1), B (−2, −4), C(4, − 1) and D (3, 4).
Show that A(-4, -7), B(-1, 2), C(8, 5) and D(5, -4) are the vertices of a
rhombus ABCD.
A point whose abscissa is −3 and ordinate 2 lies in
Points P, Q, R and S divides the line segment joining A(1, 2) and B(6, 7) in 5 equal parts. Find the coordinates of the points P, Q and R.
Find the value of k, if the points A (8, 1) B(3, −4) and C(2, k) are collinear.
If the points A (1,2) , O (0,0) and C (a,b) are collinear , then find a : b.
If the centroid of the triangle formed by the points (a, b), (b, c) and (c, a) is at the origin, then a3 + b3 + c3 =
The coordinates of the circumcentre of the triangle formed by the points O (0, 0), A (a, 0 and B (0, b) are
The line segment joining the points (3, -1) and (-6, 5) is trisected. The coordinates of point of trisection are ______.
In which quadrant, does the abscissa, and ordinate of a point have the same sign?
