Read the statement given below and choose the correct answer.I. Any point on x-axis is of the form (x, 0) for all x.II. Any point on y-axis is of the form (0, y) for all y.III. Any point on both the axes is of the form (x, y) for all x and y.Which of the following is true ?I and III and IIII onlyIII only
Question
Read the statement given below and choose the correct answer.I. Any point on x-axis is of the form (x, 0) for all x.II. Any point on y-axis is of the form (0, y) for all y.III. Any point on both the axes is of the form (x, y) for all x and y.Which of the following is true ?I and III and IIII onlyIII only
Solution
The correct answer is "I and II only".
Explanation: Statement I is true because any point on the x-axis will have a y-coordinate of 0, hence the form (x, 0). Statement II is also true because any point on the y-axis will have an x-coordinate of 0, hence the form (0, y). Statement III is incorrect because a point on both axes would be the origin, which is specifically the point (0, 0), not any point (x, y).
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