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A ( 1 , - 1) , B ( 5, 2 ) are two ...

` A ( 1 , - 1) , B ( 5, 2 ) ` are two points. If a point P forms a triangle of area 5 sq. Unit with A, B then the locus of P is

A

` 9x ^ 2 + 24 xy - 16 y ^ 2 + 42 x + 56 y - 51 = 0 `

B

` 9x ^ 2 + 24 xy - 16 y ^ 2 - 42 x + 56 y - 51 = 0 `

C

` 9x ^ 2 - 24 xy + 16 y ^ 2 - 42 x + 56 y - 51 = 0 `

D

` 9x ^ 2 - 24 xy + 16 y ^ 2 + 42 x + 56 y - 51 = 0 `

Text Solution

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The correct Answer is:
C
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