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  4. The tangent and normal to the parabola y2=4x at point P(1 , 2) intersects y -axis at point A and B respectively. The area of circumcircle of triangle PAB is

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Q. The tangent and normal to the parabola $y^{2}=4x$ at point $P\left(1 , 2\right)$ intersects $y$ -axis at point $A$ and $B$ respectively. The area of circumcircle of triangle $PAB$ is

NTA AbhyasNTA Abhyas 2022

Solution:

Solution
$T:y=x+1$
$N:y=-x+3$
$A\equiv \left(0 , 1\right)B\equiv \left(0 , 3\right)$
$AB$ is diameter
$\therefore $ radius $=1$