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Linear Equations In Two Variables

Question

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The perpendicular distance of a point from the x-axis is 2 units and the perpendicular distance from the y-axis is 3 units. Write the coordinates of the point if it lies in the:

(i) I quadrant (ii) II quadrant
(iii) III quadrant (iv) IV quadrant

Solution

(i) (3, 2)
(ii) (-3, 2)
(iii) (-3, -2)
(iv) (3, -2)

Some More Questions From Linear Equations in Two Variables Chapter

The perpendicular distance of a point from the x-axis is 2 units and the perpendicular distance from the y-axis is 3 units. Write the coordinates of the point if it lies in the:

(i) I quadrant (ii) II quadrant
(iii) III quadrant (iv) IV quadrant

In figure, ABCD is a square. Find the co-ordinates of points A and D.

In figure, write the co-ordinates of the points P, Q, R and S.

Find the co-ordinates of a point:

(i) whose ordinate is 6 and lies on y-axis.
(ii) whose abscissa is -3 and lies on x-axis.

In which quadrant, can a point have:
(i) abscissa equal to its ordinate
(ii) ordinate equal in magnitude to abscissa
(iii) ordinate equal and opposite of abscissa
(iv) abscissa twice that of the ordinate.

See figure and complete the following statements:

(i)    The abscissa and the ordinate of the point B are _ _ _ and _ _ _, respectively. Hence the coordinates of B are (_ _, _ _).
(ii)    The x-coordinate and the y-coordinate of the point M are _ _ _ and _ _ _, respectively. Hence the coordinates of M are (_ _ _, _ _ _).
(iii)    The x-coordinate and the y-coordinate of the point L are _ _ _ and _ _ _, respectively. Hence the coordinates of L are (_ _, _ _).
(iv)    The x-coordinate and the y-coordinate of the point S are _ _ _ and _ _ _, respectively. Hence the coordinates of S are (_ _, _ _).

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