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प्रश्न
Use the graphical method to find the value of k, if:
(k, -3) lies on the straight line 2x + 3y = 1
उत्तर
2x + 3y = 1
⇒ 3y = 1 - 2x
⇒ y = `(1 - 2x)/(3)`
The table for 2x + 3y = 1 is
| X | - 1 | 2 | 5 |
| Y | 1 | - 1 | - 3 |
Plotting the above points in a graph, we get the following graph:
From the above graph, it is clear that k = 5
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संबंधित प्रश्न
Draw the graph of the following linear equations in two variables:- y = 3x
Draw the graph of the following linear equation in two variable : –x + y = 6
From the choices given below, choose the equation whose graph is given in Fig. below.
(i) y = x (ii) x + y = 0 (iii) y = 2x (iv) 2 + 3y = 7x
[Hint: Clearly, (-1, 1) and (1, -1) satisfy the equation x + y = 0]
From the choices given below, choose the equation whose graph is given in fig. below.
(i) y = x + 2 (ii) y = x – 2 (iii) y = −x + 2 (iv) x + 2y = 6
[Hint: Clearly, (2, 0) and (−1, 3) satisfy the equation y = −x + 2]
Draw the graph of y = | x |.
Draw the graph for the equation, given below :
x = 5
Using a scale of 1 cm to 1 unit for both the axes, draw the graphs of the following equations: 6y = 5x + 10, y = 5x - 15.
From the graph find :
(i) the coordinates of the point where the two lines intersect;
(ii) the area of the triangle between the lines and the x-axis.
Draw the graph for each of the following equation: Also, find the coordinates of the points where the graph of the equation meets the coordinate axes:
`(1)/(2) x + (1)/(3) y` = 1
Draw the graph of the equation
y = 5x - 4 Find graphically
a. the value of x, when y = 1
b. the value of y, when x = -2
The graph given below represents the linear equation x + y = 0.
