Draw the graph of 3x + 2y = 6. Use the graph drawn to find the area of triangle formed by the line drawn and the co-ordinate axes.

Step 1: Give at least three suitable values to the variable x and find the corresponding values of y. Let x = 0, then 3 0 + 2y = 6 ⇒ y = 3 Let x = 2, then 3 2 + 2y = 6 ⇒ y = 0 Let x = 4, then 3 4 + 2y = 6 ⇒ y = -3 Step 2: Make a table (as given below) for the different pairs of the values of x and y: x | 0 | 2 | 4 --|---|---|--- y | 3 | 0 |-3 Step 3: Plot the points, from the table, on a graph paper and then draw a straight line passing through the points plotted on the graph. The area of the triangle = x base x height = x OA x OB = x 2 x 3 = sq. units = 3 sq. units Hence, the area of triangle formed by the line drawn and the co-ordinate axes is 3 sq. units.

Three vertices of parallelogram ABCD are A(-5, -1), B(3, -1) and C(1, -6). Use graphical method to find the co-ordinates of fourth vertex D.

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In the given figure, ABC is an equilateral triangle. Find the co-ordinates of A.

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Use the graphical method to find the value of k, if :
(i) (k, -3) lies on the straight line 2x + 3y = 1
(ii) (5, k - 2) lies on the straight line x - 2y + 1 = 0

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Find graphically, the vertices of the triangle whose sides have the equations 2y - x = 8; 5y - x = 14 and y - 2x = 1 respectively.
Take 1 cm = 1 unit on both the axes.

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Mathematics

Draw the graph of 3x + 2y = 6. Use the graph drawn to find the area of triangle formed by the line drawn and the co-ordinate axes.

Graphical Solution

Related Questions

Three vertices of parallelogram ABCD are A(-5, -1), B(3, -1) and C(1, -6). Use graphical method to find the co-ordinates of fourth vertex D.

In the given figure, ABC is an equilateral triangle. Find the co-ordinates of A.

Use the graphical method to find the value of k, if :
(i) (k, -3) lies on the straight line 2x + 3y = 1
(ii) (5, k - 2) lies on the straight line x - 2y + 1 = 0

Find graphically, the vertices of the triangle whose sides have the equations 2y - x = 8; 5y - x = 14 and y - 2x = 1 respectively.
Take 1 cm = 1 unit on both the axes.

Mathematics

Draw the graph of 3x + 2y = 6. Use the graph drawn to find the area of triangle formed by the line drawn and the co-ordinate axes.

Graphical Solution

Related Questions

Three vertices of parallelogram ABCD are A(-5, -1), B(3, -1) and C(1, -6). Use graphical method to find the co-ordinates of fourth vertex D.

In the given figure, ABC is an equilateral triangle. Find the co-ordinates of A.

Use the graphical method to find the value of k, if :(i) (k, -3) lies on the straight line 2x + 3y = 1(ii) (5, k - 2) lies on the straight line x - 2y + 1 = 0

Find graphically, the vertices of the triangle whose sides have the equations 2y - x = 8; 5y - x = 14 and y - 2x = 1 respectively.Take 1 cm = 1 unit on both the axes.

Use the graphical method to find the value of k, if :
(i) (k, -3) lies on the straight line 2x + 3y = 1
(ii) (5, k - 2) lies on the straight line x - 2y + 1 = 0

Find graphically, the vertices of the triangle whose sides have the equations 2y - x = 8; 5y - x = 14 and y - 2x = 1 respectively.
Take 1 cm = 1 unit on both the axes.