JEE MAIN - Mathematics (2019 - 12th January Morning Slot - No. 8)
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?
$$\left( {6,5\sqrt 2 } \right)$$
$$\left( {2\sqrt 6 ,5} \right)$$
$$\left( { - 6,2\sqrt {10} } \right)$$
$$\left( {4,\sqrt {15} } \right)$$
Explanation
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ae = 3, e = $${3 \over 2}$$, b2 = 4$$\left( {{9 \over 4} - 1} \right)$$, b2 = 5
$${{{x^2}} \over 4} - {{{y^2}} \over 5} = 1$$
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