JEE MAIN - Mathematics (2019 - 9th January Morning Slot - No. 11)
Axis of a parabola lies along x-axis. If 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?
(5, 2$$\sqrt 6$$)
(6, 4$$\sqrt 2$$)
(8, 6)
(4, -4)
Explanation
_9th_January_Morning_Slot_en_11_1.png)
So the equation of the parabola,
$${\left( {y - 0} \right)^2} = 4.a\left( {x - 2} \right)$$
$$ \Rightarrow $$ y2 = 4.2 (x $$-$$ 2)
$$ \Rightarrow $$ y2 = 8 (x $$-$$ 2)
By checking each options you can see. point (8, 6) does not lie on the parabola.
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