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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.

Use the graph given below, to find the co-ordinates of the point (s) satisfying the given conditions : Co-ordinate Geometry, Concise Mathematics Solutions ICSE Class 9.

Coordinate Geometry

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Answer

(i) The abscissa is 2.

The abscissa represents the x-coordinate, so x = 2.

Observing the graph, the y-coordinate for this point is also 2.

Hence, the point is A = (2, 2).

(ii) The ordinate is 0.

The ordinate represents the y-coordinate, so y = 0.

Observing the graph, the x-coordinate for this point is 5.

Hence, the point is B = (5, 0).

(iii) The ordinate is 3.

The ordinate represents the y-coordinate, so y = 3.

Observing the graph, the x-coordinates for this point are -4 and 6.

Hence, the points are C = (-4, 3) and E = (6, 3).

(iv) The ordinate is - 4.

The ordinate represents the y-coordinate, so y = - 4.

Observing the graph, the x-coordinate for this point is 2.

Hence, the point is D = (2, -4).

(v) The abscissa is 5.

The abscissa represents the x-coordinate, so x = 5.

Observing the graph, the y-coordinates for this point are 0, 5 and -3.

Hence, the points are B = (5, 0), H = (5, 5) and G = (5, -3).

(vi) The abscissa is equal to the ordinate.

The abscissa represents the x-coordinate, and ordinate represents the y-coordinate so x = y.

Observing the graph, the points are (2,2), (5, 5) and (4, 4).

Hence, the points are A = (2, 2), H = (5, 5) and I = (4, 4).

(vii) The ordinate is half of the abscissa.

The abscissa represents the x-coordinate, and ordinate represents the y-coordinate so y = x2\dfrac{\text{x}}{2}.

Observing the graph, the point is (6, 3).

Hence, the point is E = (6, 3).

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