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Consider the family of lines 5x+3y-2+lam...

Consider the family of lines `5x+3y-2+lambda_(1)(3x-y-4)=0 " and " x-y+1+lambda_(2)(2x-y-2)=0`. Find the equation of a straight line that belongs to both the families.

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To find the equation of a straight line that belongs to both families given by the equations: 1. \(5x + 3y - 2 + \lambda_1(3x - y - 4) = 0\) 2. \(x - y + 1 + \lambda_2(2x - y - 2) = 0\) we will follow these steps: ### Step 1: Identify the two lines from the first equation ...
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