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महाराष्ट्र राज्य शिक्षण मंडळएस.एस.सी (इंग्रजी माध्यम) इयत्ता १० वी

What are the coordinates of origin? - Geometry Mathematics 2

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प्रश्न

What are the coordinates of origin?

बेरीज

उत्तर

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

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  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 5: Co-ordinate Geometry - Q.1 (B)

संबंधित प्रश्‍न

Which point on the x-axis is equidistant from (5, 9) and (−4, 6)?


If G be the centroid of a triangle ABC, prove that:

AB2 + BC2 + CA2 = 3 (GA2 + GB2 + GC2)


Find the point on x-axis which is equidistant from the points (−2, 5) and (2,−3).


In what ratio is the line segment joining the points (-2,-3) and (3, 7) divided by the y-axis? Also, find the coordinates of the point of division.


The points A(2, 0), B(9, 1) C(11, 6) and D(4, 4) are the vertices of a quadrilateral ABCD. Determine whether ABCD is a rhombus or not.


If the points p (x , y) is point equidistant from the points A (5,1)and B ( -1,5) , Prove that 3x=2y


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.


Find the ratio in which the pint (-3, k) divide the join of A(-5, -4) and B(-2, 3),Also, find the value of k.


Find the possible pairs of coordinates of the fourth vertex D of the parallelogram, if three of its vertices are A(5, 6), B(1, –2) and C(3, –2).


Find the area of the quadrilateral ABCD, whose vertices are A(−3, −1), B (−2, −4), C(4, − 1) and D (3, 4).


The measure of the angle between the coordinate axes is


The ordinate of any point on x-axis 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 

 
 

Find the centroid of the triangle whose vertices  is (−2, 3) (2, −1) (4, 0) .


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


If A (5, 3), B (11, −5) and P (12, y) are the vertices of a right triangle right angled at P, then y=


 The ratio in which the x-axis divides the segment joining (3, 6) and (12, −3) is


The line 3x + y – 9 = 0 divides the line joining the points (1, 3) and (2, 7) internally in the ratio ______.


The distance of the point (–4, 3) from y-axis is ______.


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