The points on the parabola y 2 = 12 x whose focal distance is 4 , are Options: A . &nbsp ( 2 , √ 3 ) , ( 2 , − √ 3 ) B . &nbsp ( 1 5 , 2 5 ) , ( 1 5 , − 2 5 ) C . &nbsp (1, 2) D . &nbsp None of these

Answer: Option D : D a = 3 ⇒ abscissa is 4 - 3 = 1 and y 2 = 12 , y = ± 2 √ 3 . Hence points are ( 1 , 2 √ 3 ) , ( 1 , − 2 √ 3 ) .

The points on the parabola y2=12x whose focal distance is 4 , are

Question -

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

Options:

A .

(2, \sqrt{3}), (2, - \sqrt{3})

B .

(\frac{1}{5}, \frac{2}{5}), (\frac{1}{5}, \frac{- 2}{5})

C . (1, 2)

D . None of these

Answer: Option D
:
D

a = 3 $\Rightarrow$ 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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