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$Consider the points A (0, 1) and B (2, 0), and P be a point on the line 4 x + 3 y + 9 = 0 . The coordinates of P such that$ $| P A - P B | is maximum are$

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Correct option is B

The equation of AB is x2+y1=1 or x+2y−2=0|PA−PB|≤AB the points l, B, and P are collinear Hence, solving x+2y−2=0 and 4x+3y+9=0, we get point P≡−845,135

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Consider the points A(0,1) and B(2,0), and P be a point on the line 4x+3y+9=0 . The coordinates of P such that |PA−PB| is maximum are

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$Consider the points A (0, 1) and B (2, 0), and P be a point on the line 4 x + 3 y + 9 = 0 . The coordinates of P such that$ $| P A - P B | is maximum are$