1,\,5)\] and \[(3,\,-7)\] is 21 sq. units                    \ \[\FRAC{1}{2}\left| \,\begin{MATRIX}    x & y & 1  \\    1 & 5 & 1  \\    3 & -7 & 1  \\ \end{matrix} \right|=21\]                    SOLVING; locus of point \[(x,\,y)\] is \[6x+y-32=0\].

"> 1,\,5)\] and \[(3,\,-7)\] is 21 sq. units                    \ \[\FRAC{1}{2}\left| \,\begin{MATRIX}    x & y & 1  \\    1 & 5 & 1  \\    3 & -7 & 1  \\ \end{matrix} \right|=21\]                    SOLVING; locus of point \[(x,\,y)\] is \[6x+y-32=0\].

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The point moves such that the area of the triangle formed by it with the points (1, 5) and (3, ?7) is 21sq. unit. The locus of the point is [Kerala (Engg.) 2002]

Joint Entrance Exam - Main (JEE Main) Mathematics in Joint Entrance Exam - Main (JEE Main) . 8 months ago

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Let the point be \[(x,\,y).\] Area of triangle with points \[(x,\,y),\,(1,\,5)\] and \[(3,\,-7)\] is 21 sq. units                    \ \[\FRAC{1}{2}\left| \,\begin{MATRIX}    x & y & 1  \\    1 & 5 & 1  \\    3 & -7 & 1  \\ \end{matrix} \right|=21\]                    SOLVING; locus of point \[(x,\,y)\] is \[6x+y-32=0\].

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