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A point moves such that the area of the ...

A point moves such that the area of the triangle formed by it with the points (1, 5) and `(3,-7)s qdotu n i t sdot` Then, find the locus of the point.

Text Solution

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The correct Answer is:
`6x+y=32` or 6x+y=-10`
Let (x,y) be the required point. Therefore. `(1)/(2)|{:(x,,y,,),(1,,5,,),(3,,-7,,),(x,,y,,):}|=+-21`
or `5x-y-7-15+3y+7x=+-42`
i.e., `12x+2y=64 or 12x+2y=-20`
i,e., `6x+y=32 or 6x+y=-10`
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