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Byju's Answer
Standard IX
Mathematics
Coordinate Axes and Cartesian Plane
Statement-1: ...
Question

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?


A

Statement 1 is true and Statement 2 is false.

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B

Statement 1 is false and Statement 2 is true.

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C

Both the Statement 1 and 2 are true.

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D

Both the Statement 1 and 2 are false.

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Solution

The correct option is C

Both the Statement 1 and 2 are true.


Both are true.


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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. 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. Read the statements 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?
(a) I and II
(b) I and III
(c) I only
(d) III only
Q. In a coordinate plane, the intersection point of the X-axis and the Y-axis is called the origin
Q.

Fill in the blanks:

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

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

(c) The x-axis and y-axis intersect at ____________.

(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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