हिंदी

On Which Axis Do the Following Points Lie? P(5, 0) - Mathematics

Advertisements
Advertisements

प्रश्न

On which axis do the following points lie?

P(5, 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 (5, 0). Comparing this with the standard form of

(x, y) we have

x = 5

y = 0

Here we see that `y = 0, x != 0`

Hence the given point lies on the x-axis

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 6: Co-Ordinate Geometry - Exercise 6.1 [पृष्ठ ४]

APPEARS IN

आरडी शर्मा Mathematics [English] Class 10
अध्याय 6 Co-Ordinate Geometry
Exercise 6.1 | Q 1.1 | पृष्ठ ४

वीडियो ट्यूटोरियलVIEW ALL [2]

संबंधित प्रश्न

Find the value of k, if the point P (0, 2) is equidistant from (3, k) and (k, 5).


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.


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.


Find the points on the x-axis, each of which is at a distance of 10 units from the point A(11, –8).


If the point C ( - 2,3)  is equidistant form the points A (3, -1) and Bx (x ,8)  , find the value of x. Also, find the distance between BC


Mark the correct alternative in each of the following:
The point of intersect of the coordinate axes is


The points  \[A \left( x_1 , y_1 \right) , B\left( x_2 , y_2 \right) , C\left( x_3 , y_3 \right)\]   are the vertices of  ΔABC .
(i) The median from meets BC at D . Find the coordinates of the point  D.
(ii) Find the coordinates of the point on AD such that AP : PD  = 2 : 1.
(iii) Find the points of coordinates Q and on medians BE and CF respectively such thatBQ : QE = 2 : 1 and CR : RF = 2 : 1.
(iv) What are the coordinates of the centropid of the triangle ABC 

 
 

If three points (x1, y1) (x2, y2), (x3, y3) lie on the same line, prove that  \[\frac{y_2 - y_3}{x_2 x_3} + \frac{y_3 - y_1}{x_3 x_1} + \frac{y_1 - y_2}{x_1 x_2} = 0\]

 


The distance between the points (cos θ, 0) and (sin θ − cos θ) is


The coordinates of the point on X-axis which are equidistant from the points (−3, 4) and (2, 5) are


The line segment joining points (−3, −4), and (1, −2) is divided by y-axis in the ratio. 


If the centroid of the triangle formed by the points (3, −5), (−7, 4), (10, −k) is at the point (k −1), then k =


The point on the x-axis which is equidistant from points (−1, 0) and (5, 0) is


What is the nature of the line which includes the points (-5, 5), (6, 5), (-3, 5), (0, 5)?


Find the point on the y-axis which is equidistant from the points (S, - 2) and (- 3, 2).


The point R divides the line segment AB, where A(−4, 0) and B(0, 6) such that AR=34AB.">AR = `3/4`AB. Find the coordinates of R.


If the perpendicular distance of a point P from the x-axis is 5 units and the foot of the perpendicular lies on the negative direction of x-axis, then the point P has ______.


Which of the points P(0, 3), Q(1, 0), R(0, –1), S(–5, 0), T(1, 2) do not lie on the x-axis?


The coordinates of two points are P(4, 5) and Q(–1, 6). Find the difference between their abscissas.


The distance of the point (–1, 7) from x-axis is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×