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A triangle has its vertices on a rectang...

A triangle has its vertices on a rectangular hyperbola. Prove that the orthocentre of the triangle also lies on the same hyperbola.

A

4

B

0

C

3

D

2

Text Solution

Verified by Experts

The correct Answer is:
D

From the center of the hyperbola, we can draw two real tangents to the rectangular hyperbola.
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CENGAGE ENGLISH-HYPERBOLA-COMOREHENSION TYPE
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  10. Let P(x, y) is a variable point such that |sqrt((x-1)^2+(y-2)^2)-sqr...

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  11. Let P(x, y) is a variable point such that |sqrt((x-1)^2+(y-2)^2)-sqr...

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