parabola|A line and a Parabola#!#Condition of Tangency#!#Point of Contact

A Line and Parabola Tangent to Parabola

Shifted Parabola || Parabola Equation OF Standard Parabola || Position OF Point w.r.t Parabola

Shifted Parabola|| Parabola Equation OF Stranded Parabola|| Position OF Point w.r.t Parabola

Important points on optical problem, Line and parabola, Equation OF tangent and normal,Point OF tangency

Find the equation of the tangent with slopes 5 to the parabola y^(2)=20x , also find the coordinates of the point of contact of the tangent to the parabola.

y^2=4ax is a parabola . A line segment joining focus of parabola to any moving point (at^2,2at) is made . Then locus of mid-point of the line segment is a parabola with the directrix

Find the equation of the tangent to the parabola y^(2)=8x having slope 2 and also find the point of contact.

If the line x+y=1 touches the parabola y^(2)-y+x=0 ,then the coordinates of the point of contact are:

Area between parabola and line || Area between parabola and its double ordinate || Illustration on various concepts & Important points

If (-2,5) and (3,7) are the points of intersection of the tangent and normal at a point on a parabola with the axis of the parabola, then the focal distance of that point is