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The equartion of line which passes throu...

The equartion of line which passes through the point of intersection of `2x+3y-5=0andx+y-2=0` and also which is farthest from (2,3).

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To solve the problem, we need to find the equation of the line that passes through the point of intersection of the two given lines and is farthest from the point (2, 3). Let's break this down step by step. ### Step 1: Find the intersection of the two lines The equations of the lines are: 1. \( 2x + 3y - 5 = 0 \) (Equation 1) 2. \( x + y - 2 = 0 \) (Equation 2) We can use the elimination method to find the intersection point. First, we will multiply Equation 2 by 2 to align the coefficients of \(x\): ...
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