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Most Important Selected Qs for JEE AdvancedMathematicsParabola

The locus of the mid point of the focal radii of a variable point moving on the parabola, y^2=4 a x is a parabola whose

Options

  1. ALatus rectum is half the latus rectum of the original parabola
  2. BVertex is (a / 2,0)
  3. CDirectrix is y -axis
  4. DFocus has the co-ordinates (a, 0)

Correct answer

D. Focus has the co-ordinates (a, 0)

Step-by-step solution

aligned & h= a+ 2 , k= 2 & =2 h-a, =2 k aligned , satisfies the parabola aligned & ^2=4 a & 4 k^2=4 a(2 n-a) & y^2=a(2 x-a) & y^2=2 a (x- a 2 ) aligned

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