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Linear Equations In Two Variables

Question

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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.

Solution

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

Some More Questions From Linear Equations in Two Variables Chapter

A point lies on x-axis at a distance of 9 units from y-axis. What are its coordinates? What will be its coordinates if it lies on y-axis at a distance of 9 units from x-axis.

Plot the point P(2, -6) on graph paper and from it draw PM and PN as perpendiculars to x-axis and y-axis respectively. Write the coordinates of the points M and N.

In figure given below, triangle AOB with coordinates of A and O as (4, 0) and (0, 0), find the coordinates of B.

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.

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