Mathematics
In each of the following, find the co-ordinates of the point whose abscissa is the solution of the first equation and ordinate is the solution of the second equation : (i) 3 - 2x = 7; 2y + 1 = 10 - 2(1/2)y . (ii) 2a/3 - 1 = a/2; 15 - 4b/7 = 2b - 1/3. (iii) 5x - (5 - x) = 1/2(3 - x); 4 - 3y = 4 + y/3
Related Questions
Use the graph given below, to find the co-ordinates of the point (s) satisfying the given conditions :
(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.
State, true or false :
(i) The ordinate of a point is its x-co-ordinate.
(ii) The origin is in the first quadrant.
(iii) The y-axis is the vertical number line.
(iv) Every point is located in one of the four quadrants.
(v) If the ordinate of a point is equal to its abscissa; the point lies either in the first quadrant or in the second quadrant.
(vi) The origin (0, 0) lies on the x-axis.
(vii) The point (a, b) lies on the y-axis if b = 0.
In each of the following, the co-ordinates of the three vertices of a rectangle ABCD are given. By plotting the given points; find, in each case, the co-ordinates of the fourth vertex :
(i) A (2, 0), B (8, 0) and C (8, 4).
(ii) A (4, 2), B (-2, 2) and D (4, -2).
(iii) A (- 4, - 6), C (6, 0) and D (- 4, 0)
(iv) B (10, 4), C (0, 4) and D (0, - 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, from the same graph, state the co-ordinates of the mid-points of the sides AB and CD.