Question-155772

Question Number 155772 by daus last updated on 04/Oct/21

Answered by mr W last updated on 04/Oct/21

Commented by mr W last updated on 04/Oct/21

T (\frac{b}{\sqrt{2}}, \frac{b}{\sqrt{2}})

S (a, 0)

P (x, y)

y = \frac{0 + \frac{b}{\sqrt{2}}}{2} = \frac{b}{2 \sqrt{2}} \Rightarrow b = 2 \sqrt{2} y

x = \frac{a + \frac{b}{\sqrt{2}}}{2} = \frac{a}{2} + y \Rightarrow a = 2 (x - y)

l e t S T = l = 2

l^{2} = a^{2} + b^{2} - \sqrt{2} a b

l^{2} = 8 y^{2} + 4 {(x - y)}^{2} - 8 y (x - y)

\Rightarrow x^{2} + 5 y^{2} - 4 x y = {(\frac{l}{2})}^{2}

t h i s i s a n e l l i p s e .

Commented by mr W last updated on 04/Oct/21

Commented by daus last updated on 05/Oct/21

t h a n k s

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