Find the condition on aandb for which two distinct chords of the hyperbola 2a2x2−2b2y2=1 passing through (a,b) are bisected by the line x+y=b .

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Find the condition on {a}{a}{n}{d}{b} for which two distinct c

Question

Find the condition on $a a n d b$ for which two distinct chords of the hyperbola $\frac{x ^{2}}{2 a ^{2}} - \frac{y ^{2}}{2 b ^{2}} = 1$ passing through $(a, b)$ are bisected by the line $x + y = b$ .

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Chloe Discussed

Find the condition on

a a n d b

for which two distinct chords of the hyperbola

\frac{x ^{2}}{2 a ^{2}} - \frac{y ^{2}}{2 b ^{2}} = 1

passing through

(a, b)

are bisected by the line

x + y = b

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Question Text

Find the condition on

a a n d b

for which two distinct chords of the hyperbola

\frac{x ^{2}}{2 a ^{2}} - \frac{y ^{2}}{2 b ^{2}} = 1

passing through

(a, b)

are bisected by the line

x + y = b