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Linear Equations In Two Variables

Question

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Plot the points A (1, 3), B (1, -1), C (7, -1) and D (7, 3) in Cartesian plane. Join them in order and name the figure so formed.

Solution

The name of the figure formed is a rectangle.

Some More Questions From Linear Equations in Two Variables Chapter

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.

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.

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