Question

او
24) At what point does the graph of the linear equation
x+y=5 meet a line which is parallel to the Y
axis, at a distance 2 units from the origin and in the positive
direction of the X axis.

Answer 1

Answer:

The required point is (2,3).

Step-by-step explanation:

Given : The graph of the linear equation x + y = 5 meet a line which is parallel to the y-axis, at a distance of 2 units from the origin in the positive direction of x-axis ?

To find : At what point does the graph meet a line?

Solution :

The graph of the linear equation  .....(1)

The x-intercept is at y=0,

The y-intercept is at x=0,

Now, any line parallel to the y axis is in the form x=k.

Since, this line is at a distance of 2 units from the origin in the positive x-axis.

So, The equation of line is  ......(2)

Now, The intersection point of both the lines is the required point.

Put equation (2) in (1),

Refer the attached figure below.

Therefore, The required point is (2,3).