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BITSAT2024MathematicsParabolaActual

If the focus of parabola (y-k)^2=4(x-h) always lies between the lines x+y=1 and x+y=3 then

Options

  1. A0 h+k 2
  2. B0 h+k 1
  3. C1 h+k 2
  4. D1 h+k 3

Correct answer

A. 0 h+k 2

Step-by-step solution

Coordinate of focus will be (h+1, k) Now focus should lie to the opposite side of origin with respect to line x+y-1=0 and same side as origin with respect to line x+y-3=0 Hence h+k 0 and h+k 2 .

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