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A quadrilateral ABCD is divided by the d...

A quadrilateral ABCD is divided by the diagonal AC into two triangles of equal areas. If A, B, C are respectively, `(3,4),(-3,6),(-5,1),` then the locus of D is

A

`(x-8y-57)(x-8y+11)=0`

B

`(x-8y-57)(x-8y-11)=0`

C

`(3x-8y-57)(3x-8y+11)=0`

D

`(3x-8y-11)(3x-8y+57)=0`

Text Solution

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The correct Answer is:
D
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