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If the line 2y+4x+1=0 intersects the par...

If the line `2y+4x+1=0` intersects the parabola `y^2=x` at A and B and O is the origin then find a) measure of `angle AOB` is `pi/2 +_ tan^(-1) (3/(2sqrt(5))` b) measure of `angle AOB` is `tan^(-1) (2sqrt(5))/3` c)circle described on AB as a diameter touches the line 4x-1=0 d) tangents drawn at A and B are not perpendicular

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