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 ...... .

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Solution

(i) Y- axis
(ii) X-axis
(iii) 0
(iv) origin
(v) 2
(vi) x
(vii) (0, 0)

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Similar questions

Q. State whether True or False. Correct that are false.
(i) A point whose x coordinate is zero and y-coordinate is non-zero will lie on the y-axis.
(ii) A point whose y coordinate is zero and x-coordinate is

5

will lie on y-axis.
(iii) The coordinates of the origin are

(0, 0)

Q. Decide which of the following statements is true and which is false. Give reasons for your answer.
(i) A point whose x-coordinate is zero, will lie on the y-axis.
(ii) A point whose y-coordinate is zero, will lie on x-axis.
(iii) The coordinates of the origin are (0, 0).
(iv) Points whose x and y coordinates are equal, lie on a line passing through the origin.

Q. Question 3
Point ( 0, -7) lies

Thinking process
(i) Firstly, check whether any coordinate of the given point is zero or not.
(a) If x-coordinate is zero and y-coordinate is non-zero, then the point lies on the y-axis.
(b) If y-coordinate is zero and x-coordinate is non-zero, then the point lies on the x-axis.
(c) If x-coordinate and y-coordinate are zero, the point lies on the origin ( or on both the axes.)
(ii) If none of the coordinates is zero, then the point lies in any one of the four quadrants.

A) On the x-axis
B) In the second quadrant
C) On the y-axis
D) In the fourth quadrant

Statement-1: The coordinate of a point on the x-axis is of the form (x,0) and that of the point on the y-axis is (y,0).
Statement-2: The point of intersection of the axes is called the origin.
Which of the following is true?

Fill in the blanks:

(a) The y-coordinate of a point on the x-axis is ____________.

(b) The x-axis coordinate is called as ____________.

(d) If a point (x, y) ≠ (0, 0) is in the third quadrant, then x + y has _____________ sign.

(e) If a point (x, y) lies above horizontal axis, then y is always _____________.

(f) The point of intersection of x = y and x = − y is ____________.

(g) The line y = 4x + 5 intersects y-axis at the point ____________.

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(i) Y- axis (ii) X-axis (iii) 0 (iv) origin (v) 2 (vi) x (vii) (0, 0)

(i) Y- axis
(ii) X-axis
(iii) 0
(iv) origin
(v) 2
(vi) x
(vii) (0, 0)