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Question

If the vertices of a hyperbola be at (2,0) and (2,0) and one of its foci be at (3,0), then which one of the following points does not lie on this hyperbola:
  1. (4,15)
  2. (26,5)
  3. (6,52)
  4. (6,210)


Solution

The correct option is C (6,52)
a=2,c=3
As, c2=a2+b2
9=4+b2
b2=5
Equation of Hyperbola is
x24y25=1
On sustituting the coordinates of all the points given in options, we can say that only the point (6,52) does not satisfy the equation of hyperbola.

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