🛠️ JEE➗ Maths

Consider the parabola with vertex \(\left(\frac{1}{2}, \frac{3}{4}\right)\) and the directrix \(y=\frac{1}{2}\) Let \(P\…

Q1

Consider the parabola with vertex \(\left(\frac{1}{2}, \frac{3}{4}\right)\) and the directrix \(y=\frac{1}{2}\) Let \(P\) be the point where the parabola meets the line \(x=-\frac{1}{2}\) If the normal to the parabola at \(P\) intersects the parabola again at the point \(Q\), then \((P Q)^2\) is equal to:

[JEE Main 2021, 1 Sep (Shift 2)]

a

\(\frac{15}{2}\)

b

\(\frac{25}{2}\)

c

\(\frac{125}{16}\)

d

\(\frac{75}{8}\)

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