Question

3.
If the intercept made by the line between the axes is
bisected at the point (x,, y,), then its equation is
+
=-
(d) none of these
(C) —
x
&
2​

Answer 1

The complete question is:

If the intercept made by the line between the axes is bisected at the point (5,2), then find the equation of the line.

Answer:

The required straight line is

2x + 5y = 20.

Solution:

Let the equation of the straight line in intercept form be given by

x/a + y/b = 1 ..... (1)

Then the line (1) intersects x-axis at (a, 0) and y-axis at (0, b).

By the given condition, line (1) is bisected at (5, 2). Then

(a + 0) / 2 = 5

or, a = 10

and (0 + b) / 2 = 2

or, b = 4

Therefore, the required line is obtained from (1) no. equation as follows

x/10 + y/4 = 1

or, (2x + 5y) / 20 = 1

or, 2x + 5y = 20