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Question

If with standard notations t1,t2,t3,t4 are four co–normal points on the hyperbola xy=c2 then the orthocentre of the triangle formed by joining the points t1,t2,t3 is given by

A
(0,0)
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B
(ct4,ct4)
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C
[c(t1+t2+t3),ct1+t2+t3]
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D
(ct4,ct4)
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Solution

The correct option is B (ct4,ct4)
For a triangle formed by joining any three co-normal points, orthocenter coincides with the fourth point.

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