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Most Important Selected Qs for JEE AdvancedMathematicsStraight Lines

If the point M(h, k) lie on the line 2 x+3 y=5 such that |M A-M B| is maximum where A(2,3) and B(1,2) , then find the value of (3 h+2 k) .

Correct answer

4

Step-by-step solution

As, |M A-M B| A B |M A-M B|_ maximum =A B , which is possible when M is the point of intersection of line joining A(1,2), B(2,3) and 2 x+3 y=5 So, M (x= 2 5 , y= 7 5 )

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