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Axis of a parabola lies along the x-axis. It its vertex and focus are at distances 2 and 4 respectively from the origin, on the positive x-axis then which of the following points does not lie on it?

  • Option 1)

    (5, 2\sqrt6)

  • Option 2)

    (8,6)

  • Option 3)

    (6, 4\sqrt2)

  • Option 4)

    (4,-4)

Answers (1)

best_answer

 

Standard equation of parabola -

y^{2}=4ax

- wherein

vertex=\left ( 2,0 \right )

focus=\left ( 4,0 \right )

General eq. of parabola

\left ( y-k \right )^{2}=4a\left ( x-h \right )

Where \left ( h,k \right )  are vertex.

So, 

\left ( y-0 \right )^{2}=8\left ( x-2 \right )^{2}     is equation of parabola.

y^{2}=8\left ( x-2 \right )

\left ( 8,6 \right )  does not lie on parabola. 

 


Option 1)

(5, 2\sqrt6)

Option 2)

(8,6)

Option 3)

(6, 4\sqrt2)

Option 4)

(4,-4)

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