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 ?

A
(4,15)
B
(6,210)
C
(6,52)
D
(22,5)

Solution

## The correct option is C $$( 6,5 \sqrt { 2 } )$$$${ ae }=3,{ e }=\dfrac { 3 }{ 2 } ,{ b }^{ { 2 } }=4\left( \dfrac { 9 }{ 4 } -1 \right) ,{ b }^{ { 2 } }=5$$$$\dfrac { x ^ { 2 } } { 4 } - \dfrac { y ^ { 2 } } { 5 } = 1$$Maths

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