Question

find the equation of the tangent at the end of the Latus rectum of the parabola x2=4ay​

Answer 1

Answer:

let tangent is drawn at (h,k) and it has a slope m

x

2

=4ay

2x=4a

dx

dy

dx

dy

=

4a

2x

=

2a

x

(

dx

dy

)

(h,k)

=

2a

h

=m

⇒h=2am

h

2

=4ak

⇒k=

4a

4a

2

m

2

=am

2

Equation of tangent is

y−k=m(x−h)

y−am

2

=m(x−2am)

y−am

2

=mx−2am

2

y=mx−am

2