Question

if the line 4x+2y=c is tangent to the parabola y=16x then c is

Answer 1

Condition of tangency to a parabola y²=4ax is y=mx+a/m

So

So for your parabola a=4

So your equation of line can be written as

2y=-4x-c

y=-2x+c/2

So comapare this eq to y=mx+a/m

So m=-2 and

a/m=c/2

c= -4

Hope it helps

Please mark my answer as BRAINLIEST