If `P` is any point on the hyperbola whose axis are equal, prove that `S PdotS^(prime)P=C P^2dot`

Explanation

We know that for an hyperbola if the length of semi transverse and semi conjugate axes are equal then a=b

Hence, the equation of the given hyperbola is `x^2–y^2=a^2`
......(1)

Here,
`e=sqrt(2),C=(0,0)`

`S=(sqrt(2
)​a,0),
S′=(−sqrt(2)
...