question_answer

Axis of a parabola lies along x-axis. If its vertex and focus are at distance 2 and 4 respectively from the origin, on the positive x-axis then which of the following points does not lie on it? [JEE Main Online Paper (Held On 09-Jan-2019 Morning]

A) \[\left( 8,\text{ }6 \right)\]

B) \[\left( 4,\,-4 \right)\]

C) \[(6,\,\,4\sqrt{2})\]

D) \[(5,\,\,2\sqrt{6})\]

Correct Answer: A

Solution :

Equation of parabola is \[{{\left( y-0 \right)}^{2}}=4a\left( x-2 \right)\] \[{{y}^{2}}=4.2\,(x-2)\] \[{{y}^{2}}=8(x-2)\] check option (1) is correct