The points on the parabola y^2 = 12x whose focal distance is 4, a… - Vidyadip

MCQ

The points on the parabola ${y^2} = 12x$ whose focal distance is $4$, are

A
$(2,\;\sqrt 3 ),\;(2,\; - \sqrt 3 )$
✓
$(1,\;2\sqrt 3 ),\;(1, - 2\sqrt 3 )$
C
$(1, \;2)$
D
None of these

✓

Answer

Correct option: B.

$(1,\;2\sqrt 3 ),\;(1, - 2\sqrt 3 )$

b
(b) $a = 3$ ==> abscissa is $4 - 3 = 1$ and ${y^2} = 12,\;y = \pm 2\sqrt 3 $.

Hence points are $(1,2\sqrt 3 ),\,(1, - 2\sqrt 3 )$.

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