Grade 12Differential Calculus
a tangent is drawn from pt.(1,4) to parabola y^2=4ax.find the angle between the tangent and parabola.
1 Answer
Nirmal Singh.
y^2-2x^3-4y+8=0
Differentiating w.r. x,we get
2ydy/dx-6x^2-4dy/dx=0
dy/dx(2y-4)=6x^2
dy/dx=3x^2/(y-2)
(dy/dx)(1,2)=3/0=infinite
i.e. tangent is perpendiculat to x axis.
so eq. of the tangent is x=k
it passes through (1,2) so
1=k
so eq of tangent will be x=1
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