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TS EAMCET · Maths · Straight Lines

If the line 2x-3y+4=0 divides the line segment joining the points A-2,3 and B3,-2 in the ratio m:n, then the point which divides AB in the ratio -4 m:3 n is

  1. A -17,18
  2. B -597,667
  3. C -5,6
  4. D -57,127
Verified Solution

Answer & Solution

Correct Answer

(A) -17,18

Step-by-step Solution

Detailed explanation

Given, The line 2x-3y+4=0 divides the line segment joining the points A-2,3 and B3,-2 in the ratio m:n, Now let the point be P which divide in ratio m:n, So by section formula we get P≡3m-2nm+n,3n-2mm+n Now, given point P lie on the line 2x-3y+4=0 So…
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