Mathematics

Problem

For the curve

\lambda xy + y^{2} = 12

, find the value of

\lambda

so that the tangent at the point

(2,3)

is parallel to the line

14y + 3x = 0

. a)

-\dfrac{1}{2}

\dfrac{1}{2}

c) 2 d)

\dfrac{3}{14}