In the parabola y2+4=4x, a chord passing through point (2,0) cuts the parabola at P and Q. If coordinates of P are (5,4) and the tangents at P and Q meet at R, then List-IList-II(I)The focus of the parabola is (P)(0,32)(II)The centroid of △PQR is (Q) (4,0)(III)The circumcentre of △PQR is (R)(2512,32)(IV)The orthocentre of △PQR is (S)(258,32)(T)(254,32)(U) (2,0)Which of the following is the only CORRECT combination?

In the parabola y2+4=4x, a chord passing through point (2,0) cuts the

1.	In the parabola y2+4=4x, a chord passing through point (2,0) cuts the parabola at P and Q. If coordinates of P are (5,4) and the tangents at P and Q meet at R, then List-IList-II(I)The focus of the parabola is (P)(0,32)(II)The centroid of △PQR is (Q) (4,0)(III)The circumcentre of △PQR is (R)(2512,32)(IV)The orthocentre of △PQR is (S)(258,32)(T)(254,32)(U) (2,0)Which of the following is the only CORRECT combination?
Answer» In the parabola $y^{2} + 4 = 4 x$ , a chord passing through point $(2, 0)$ cuts the parabola at $P$ and $Q$ . If coordinates of $P$ are $(5, 4)$ and the tangents at $P$ and $Q$ meet at $R$ , then $\begin{matrix} List-I & List-II (I) & The focus of the parabola is & (P) & (0, \frac{3}{2}) (II) & The centroid of △ P Q R is & (Q) & (4, 0) (III) & The circumcentre of △ P Q R is & (R) & (\frac{25}{12}, \frac{3}{2}) (IV) & The orthocentre of △ P Q R is & (S) & (\frac{25}{8}, \frac{3}{2}) (T) & (\frac{25}{4}, \frac{3}{2}) (U) & (2, 0) \end{matrix}$ Which of the following is the only CORRECT combination?