Mathematics

Mathematics

Problem

The tangent to the hyperbola

xy = c^2

at point

P(t)

intersects the

X

-axis at

T

and the

Y

-axis at

T'

. The normal to the hyperbola at

P(t)

intersects the

X

-axis at

N

and the

Y

-axis at

N'

. The areas of the triangles

PNT

and

PN'T'

are

\Delta

and

\Delta'

respectively, then

\frac{1}{\Delta} + \frac{1}{\Delta'}

is a. equal to 1 b. depends on

t

c. depends on

c

d. equal to 2

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