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AP EAMCET202315 May 2023Evening ShiftMathematicsCircleActual

If A(4,0) and B(-4,0) are two points, then the locus of a point P such that PA - PB =4 is

Options

  1. A3 x^2-y^2=12
  2. Bx^2-3 y^2=12
  3. C4 (x^2-3 y^2 )=1
  4. D3 x^2-y^2=1

Correct answer

A. 3 x^2-y^2=12

Step-by-step solution

Given (4,0) and B(-4,0) , Let P(x, y) Now, P A-P B=4 aligned & (x-4)^2+y^2 - (x+4)^2+y^2 =4 & 3 x^2-y^2=12 aligned

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