Grade 12Analytical Geometry
what is the condition that the line y=mx+c be tangent to a parabola x square =4ay is c=-am square
1 Answer
Nehal Wani
y=mx+c........(i)
x2=4ay..........(ii)
Putting the value of y from (i) to (ii)
x2=4a(mx+c)
The line Touches The parabola If Discriminant=0
x2-4amx-c=0
16a2m2=-4c
c=-4a2m2
There fore the equation of tangent is:
y=mx-4a2m2
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