Mathematics

Problem

Consider the curve

x^{2} + \lambda y^{2} = 10y

. Determine

\lambda

if the tangent to the curve at the point

(1,2)

is parallel to the line

2x + 9y = 0

. a)

\dfrac{43}{18}

\dfrac{19}{4}

\dfrac{1}{4}

\dfrac{47}{18}