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10.2 parabola,ellipse,hyperbola — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHS10.2 parabola,ellipse,hyperbola1 Mark
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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