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प्रश्न
In the following, the coordinates of the three vertices of a rectangle ABCD are given. By plotting the given points; find, in case, the coordinates of the fourth vertex:
B (10, 4), C(0, 4) and D(0, -2).
उत्तर
B (10, 4), C(0, 4) and D(0, -2)
After plotting the given points B (10, 4), C(0, 4) and D(0, - 2) on a graph paper; joining C with B and C with D. From the graph it is clear that the vertical distance between the points C(0, 4) and D(0, - 2) is 6 units and the horizontal distance between the points C(0, 4) and D(0, - 2) is 10 units, therefore the vertical distance between the points B (10, 4) and A must be 6 units and the horizontal distance between the points D(0, - 2) and A must be 10 units. Now complete the rectangle ABCD
As is clear from the graph A(10, - 2).
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संबंधित प्रश्न
Use the graph given alongside, to find the coordinates of the point (s) satisfying the given condition:
(i) The abscissa is 2.
(ii)The ordinate is 0.
(iii) The ordinate is 3.
(iv) The ordinate is -4.
(v) The abscissa is 5.
(vi) The abscissa is equal to the ordinate.
(vii) The ordinate is half of the abscissa.
In the following, the coordinates of the three vertices of a rectangle ABCD are given. By plotting the given points; find, in case, the coordinates of the fourth vertex:
A(2, 0), B(8, 0) and C(8, 4).
In the following, the coordinates of the three vertices of a rectangle ABCD are given. By plotting the given points; find, in case, the coordinates of the fourth vertex:
A (4, 2), B(-2, 2) and D(4, -2).
A (- 2, 2), B(8, 2) and C(4, - 4) are the vertices of a parallelogram ABCD. By plotting the given points on a graph paper; find the co-ordinates of the fourth vertex D.
Also, form the same graph, state the co-ordinates of the mid-points of the sides AB and CD.
A (-2, 4), C(4, 10) and D(-2, 10) are the vertices of a square ABCD. Use the graphical method to find the co-ordinates of the fourth vertex B. Also, find:
(i) The co-ordinates of the mid-point of BC;
(ii) The co-ordinates of the mid-point of CD and
(iii) The co-ordinates of the point of intersection of the diagonals of the square ABCD.
Draw a graph of each of the following equations: 2x = 7
Draw a graph of each of the following equations: 2y - 5 = 0
Draw a graph of each of the following equations: y = 3
Draw the graph of the lines y = x, y = 2x, y = 3x and y = 5x on the same graph sheet. Is there anything special that you find in these graphs?
Consider the number of angles of a convex polygon and the number of sides of that polygon. Tabulate as follows:
| Name of Polygon | No. of angles | No. of sides |
Use this to draw a graph illustrating the relationship between the number of angles and the number of sides of a polygon
