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AP EAMCET202421 May 2024Evening ShiftMathematicsStraight LinesActual

The perimeter of the locus of the point P which divides the line segment Q A internally in the ratio 1: 2 , where A=(4,4) and Q lies on the circle x^2+y^2=9 is

Options

  1. A8
  2. B4
  3. C9

Correct answer

B. 4

Step-by-step solution

Let P (h, k) Also P ( 4+6 3 , 4+6 3 ) (h, k) aligned & 3 h-4=6 and 3 k-4=6 & (3 h-4)^2+(3 k-4)^2=36 & (h- 4 3 )^2+ (k- 4 3 )^2=4 aligned Perimeter =2 r=2 2=4 .

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