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If (x^(2))/(36)-(y^(2))/(k^(2))=1 is a h...

If `(x^(2))/(36)-(y^(2))/(k^(2))=1` is a hyperbola, then which of the following points lie on hyperbola?

A

A. `(3,1)`

B

B. `(-3,1)`

C

C. `(5,2)`

D

D. `(10,4)`

Text Solution

Verified by Experts

The correct Answer is:
D
For hyperbola `(x^(2))/(36) -(y^(2))/(k^(2)) =1, a = 6`
`:.` Abscissa of any point on hyperbola must be `ge 6`
`:. (10,4)` can lie on hyperbola
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