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Plotting a Point

The distance ...

Question

The distance of point (0, a) where a is any real number from Y-axis is___.

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Solution

The point (0, a) means the given point is 0 units away from the Y-axis. So the given points distance from Y-axis is zero because the point lies on the Y-axis.

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Q. Fill in the blanks to make the given statements true.
(i) A point in which the x-coordinate is 0 and y-coordinate is 5 will lie on ..... .
(ii) All point with y-coordinate as 0 lie on ...... .
(iii) The x-coordinate of any point lying on the y-axis is always ..... .
(iv) The point where the two axes intersect is called the ..... .
(v) For the point (5, 2), the distance from the x-axis is ...... units.
(vi) The distance of any point from the y-axis is the ...... coordinate.
(vii) The coordinates of the origin are ...... .

Q. The ordinate of every point on the x-axis is
(a) 1
(b) –1
(c) 0
(d) any real number

Q. Any point on the y-axis is of the form:
(a) (x, 0), where x ≠ 0
(b) (0, y), where y ≠ 0
(c) (x, x), where x ≠ 0
(d) None of these

Q. Any point on the x-axis is of the form
(a) (x, y), where x ≠ 0 and y ≠ 0
(b) (0, y), where y ≠ 0
(c) (x, 0), where x ≠ 0
(d) (y, y), where y ≠ 0

Q. The abscissa of any point on y-axis is

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(b) 1

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(d) any number

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