Consider the parabola ² = 4. Let be the focus of the parabola. A pair of tangents drawn to the parabola from the point = (−2, 1) meet the parabola at [tex]P_1[/tex] and [tex]P_2[/tex]. Let [tex]_1[/tex] and [tex]_2[/tex] be points on the lines [tex]_1[/tex] and [tex]_2[/tex] respectively such that [tex]_1[/tex] is perpendicular to [tex]_1[/tex] and [tex]_2[/tex] is perpendicular to [tex]_2[/tex]. Then, which of the following is/are TRUE ?

[tex](A) SQ_1 = 2 [/tex]
[tex](B) Q_1 \: Q_2 = \frac{3 \sqrt{10} }{5} [/tex]
[tex](C) \: PQ_1 = 3 [/tex]
[tex](D) \: SQ_2 =1[/tex]



[tex] \bf[Jee \: Adv] [/tex]

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