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Linear Equations In Two Variables

Question

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Plot the points A (3, 0), B (3, 3) and C (0, 3) in a Cartesian plane. Join OA, AB, BC and CO. Name the figure so formed and write its one property.

Solution

The figure formed is a square.
Its all the sides are of equal length.

Some More Questions From Linear Equations in Two Variables Chapter

See the figure given below and write the following:

(i) Coordinates of point A
(ii) Abscissa of point D
(iii) The point identified by the co-ordinates (5, 4)
(iv) Co-ordinates of point C

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.

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