Question

A variable line passes through a fixed point
(x1,y1) and meets the axes at A and B. If the
rectangle OAPB be completed, the locus of P
is, (o being the origin of the system of axes).​

Answer 1

Answer:

ANSWER

From the figure, l passes through (h,0),(0,k)

Thus,

h

x

+

k

y

=1, passes through (x

1

,y

1

)

Then,

h

x

1

+

k

y

1

=1

⇒ locus is

x

x

1

+

y

y

1

=1.

solution