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Let the tangent to the parabola \(S:{y}^{2}=2x\) at the point \(P(2,2)\) meet the x-axis at Q and normal at it meet the …

Q1

Let the tangent to the parabola \(S:{y}^{2}=2x\) at the point \(P(2,2)\) meet the x-axis at Q and normal at it meet the parabola S at the point R. Then the area (in sq. units) of the triangle PQR is equal to :

[JEE Main 2021, 20 Jul (Shift 1)]

a

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

b

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

c

\(\frac{35}{2}\)

d

\(25\)

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