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  4. If (λ, 4) is the orthocentre of the triangle whose vertices lie on the rectangular hyperbola x y=16, then λ is equal to

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Q. If $(\lambda, 4)$ is the orthocentre of the triangle whose vertices lie on the rectangular hyperbola $x y=16$, then $\lambda$ is equal to

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Solution:

By property, orthocentre always lie on rect. hyperbola
$\therefore \lambda \times 4=16 $
$\therefore \lambda=4$