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What are the coordinates of origin? - Geometry Mathematics 2

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प्रश्न

What are the coordinates of origin?

योग

उत्तर

Co-ordinates of origin are (0, 0).

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अध्याय 5: Co-ordinate Geometry - Q.1 (B)

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)?


Show that the points (−3, 2), (−5,−5), (2, −3) and (4, 4) are the vertices of a rhombus. Find the area of this rhombus.


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.


Find the value of a, so that the point ( 3,a ) lies on the line represented by 2x - 3y =5 .


If `P(a/2,4)`is the mid-point of the line-segment joining the points A (−6, 5) and B(−2, 3), then the value of a is


Show that A(-4, -7), B(-1, 2), C(8, 5) and D(5, -4) are the vertices of a
rhombus ABCD.


The abscissa and ordinate of the origin are


Show that ΔABC, where A(–2, 0), B(2, 0), C(0, 2) and ΔPQR where P(–4, 0), Q(4, 0), R(0, 2) are similar triangles.


Show that A (−3, 2), B (−5, −5), (2,−3), and D (4, 4) are the vertices of a rhombus.

 

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 

 
 

In  \[∆\] ABC , the coordinates of vertex A are (0, - 1) and D (1,0) and E(0,10)  respectively the mid-points of the sides AB and AC . If F is the mid-points of the side BC , find the area of \[∆\] DEF.


Write the coordinates of the point dividing line segment joining points (2, 3) and (3, 4) internally in the ratio 1 : 5.


Write the ratio in which the line segment doining the points A (3, −6), and B (5, 3) is divided by X-axis.


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 =


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


Point (3, 0) lies in the first quadrant.


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


Assertion (A): The ratio in which the line segment joining (2, -3) and (5, 6) internally divided by x-axis is 1:2.

Reason (R): as formula for the internal division is `((mx_2 + nx_1)/(m + n) , (my_2 + ny_1)/(m + n))`


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