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QJEEAdv06Ma8864: JEE Advanced 2006 Mathematics - Class 11 JEEAdv06Ma8864 Solution: Match the following : is the pt. from which three normals are…

Match the following :

(3, 0)

is the pt. from which three normals are drawn to the parabola

{y^2} = 4x

which meet the parabola in the points

P, Q

and

R

. Then

Column ${\rm I}$
(A) Area of $\Delta PQR$
(B) Radius of circumcircle of $\Delta PQR$
(C) Centroid of $\Delta PQR$
(D) Circumcentre of $\Delta PQR$

Column ${\rm I}$ ${\rm I}$
(p) $2$
(q) $5/2$
(r) $(5/2, 0)$
(s) $(2/3, 0)$

Multiple Choice Options

A $\left( A \right) - \left( p \right),\left( B \right) - \left( q \right),\left( C \right) - \left( s \right),\left( D \right) - \left( r \right)$
B $\left( A \right) - \left( p \right),\left( B \right) - \left( q \right),\left( C \right) - \left( r \right),\left( D \right) - \left( s \right)$
C $\left( A \right) - \left( s \right),\left( B \right) - \left( r \right),\left( C \right) - \left( p \right),\left( D \right) - \left( q \right)$
D $\left( A \right) - \left( r \right),\left( B \right) - \left( s \right),\left( C \right) - \left( q \right),\left( D \right) - \left( p \right)$

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