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  • The straight line will meet the parabola <img alt="\mathrm{y^{2}=4 a x}" src="htt

The straight line \mathrm{y=m(x-a)} will meet the parabola \mathrm{y^{2}=4 a x} in two distinct real points if

Option: 1

\mathrm{m \in R}


Option: 2

\mathrm{m \in[-1,1]}


Option: 3

\mathrm{m \in[-\infty, 1] \cup[1, \infty)}


Option: 4

\mathrm{m \in R \sim\{0\}}


Answers (1)

best_answer

\mathrm{y=m(x-a)} passes through the focus (a, 0) of the parabola. Thus for this to be focal chord \mathrm{m \in R \sim\{0\}}.

Posted by

Nehul

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