Question

y=(x/k)+k where k is constant tangent 4y=x^2, i) find k, ii) find P

Answer 1

Are you wanting to find the tangent line to 4y=x^2?

Answer 2

You will need to first differentiate 4y=x^2?

Answer 3

I need to find the value of constant K using the information above, i meant 4y=x^2 is the tangent to the curve y=(x/k)+k and joins the curve at point P, finding point P is the second part of the question where i just have to do simultaneous equations im pretty sure

Answer 4

Well I still think we need to differentiate 4y=x^2 to find the general slope formula and compare it to the slope of the line which is 1/k

Answer 5

okay thanks

Answer 6

Well have you done that yet?

Answer 7

yup

Answer 8

which is?

Answer 9

x/2

Answer 10

Ok so say we call the point that we want to find is (a,b)

Answer 11

so the derivative evaluated at x=a is a/2

Answer 12

So we have a/2=1/k

Answer 13

So now solve that for k

Answer 14

just a picture if you think it would be helpful