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Consider a family of straight lines (x+y...

Consider a family of straight lines `(x+y)+lambda(2x-y+1)=0` . Find the equation of the straight line belonging to this family that is farthest from `(1,-3)dot`

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To solve the problem, we need to find the equation of the straight line from the given family of lines that is farthest from the point (1, -3). The family of lines is given by: \[ x + y + \lambda(2x - y + 1) = 0 \] ### Step 1: Identify the family of lines The equation can be rewritten as: ...
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