Advertisements
Advertisements
प्रश्न
On which axis do the following points lie?
Q(0, -2)
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 Q (0, -2). Comparing this with the standard form of (x, y) we have
x = 0
y = -2
Here we see that x = 0, `y != 0`
Hence the given point lies on the y-axis
APPEARS IN
संबंधित प्रश्न
A line intersects the y-axis and x-axis at the points P and Q respectively. If (2, –5) is the mid-point of PQ, then find the coordinates of P and Q.
Which point on the x-axis is equidistant from (5, 9) and (−4, 6)?
In what ratio is the line segment joining (-3, -1) and (-8, -9) divided at the point (-5, -21/5)?
Prove that the points (4, 5) (7, 6), (6, 3) (3, 2) are the vertices of a parallelogram. Is it a rectangle.
Point A lies on the line segment PQ joining P(6, -6) and Q(-4, -1) in such a way that `(PA)/( PQ)=2/5` . If that point A also lies on the line 3x + k( y + 1 ) = 0, find the value of k.
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.
In what ratio does y-axis divide the line segment joining the points (-4, 7) and (3, -7)?
Find the coordinates of the points of trisection of the line segment joining the points (3, –2) and (–3, –4) ?
If the point P(x, 3) is equidistant from the point A(7, −1) and B(6, 8), then find the value of x and find the distance AP.
Find the ratio in which the line segment joining the points A(3, −3) and B(−2, 7) is divided by the x-axis. Also, find the coordinates of the point of division.
If the points A(−1, −4), B(b, c) and C(5, −1) are collinear and 2b + c = 4, find the values of b and c.
Write the distance between the points A (10 cos θ, 0) and B (0, 10 sin θ).
What is the area of the triangle formed by the points O (0, 0), A (6, 0) and B (0, 4)?
what is the value of \[\frac{a^2}{bc} + \frac{b^2}{ca} + \frac{c^2}{ab}\] .
If the points (k, 2k), (3k, 3k) and (3, 1) are collinear, then k
The coordinates of the point P dividing the line segment joining the points A (1, 3) and B(4, 6) in the ratio 2 : 1 are
The line segment joining the points A(2, 1) and B (5, - 8) is trisected at the points P and Q such that P is nearer to A. If P also lies on the line given by 2x - y + k= 0 find the value of k.
Point (–3, 5) lies in the ______.
Ordinate of all points on the x-axis is ______.
Find the coordinates of the point which lies on x and y axes both.
