Question

The numerical value of the area of the triangle formed by a
moving line on the coordinate axes is 2c^2. Find the locus of
the middle point of the portion of the line intercepted
between the axes.​

Answer 1

Answer:

If the x-intercept of a line is h and its y-intercept is k,

h

x

+

k

y

=1 represents the equation of that line.

Thus, here point (4,3) divides the line joining points (h,0) & (0,k) in the ratio 1:2 since the point is closer to x axis.

3

1×0+2×h

=4

⇒h=6

3

1×k+2×0

=3

⇒k=9

Equation of line is

6

x

+

9

y

=1

3x+2y=18.

Answer 2

$xy = + - c {}^{2}$