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JEE Main20245 Apr 2024Evening ShiftMathematicsStraight LinesActual

Let A(-1,1) and B(2,3) be two points and P be a variable point above the line A B such that the area of PAB is 10 . If the locus of P is a x+ b y=15 , then 5 a +2 ~b is :

Options

  1. A6
  2. B- 6 5
  3. C4
  4. D- 12 5

Correct answer

D. - 12 5

Step-by-step solution

aligned & 1 2 | array ccc h & k & 1 -1 & 1 & 1 2 & 3 & 1 array |=10 & -2 x +3 y =25 & - 6 5 x + 9 5 y =15 & a =- 6 5 , ~b = 9 5 & 5 a =-6,2 ~b = 18 5 aligned

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