jee-advanced 1999 Q30

jee-advanced · India Circles Tangent Lines and Tangent Lengths
30. On the ellipse $4 x 2 + 9 y 2 = 1$, the points at which the tangents are parallel to the line $8 \mathrm { x } = 9 \mathrm { y }$ are :
(A) $( 2 / 5,1 / 5 )$
B) $( - 2 / 5,1 / 5 )$
(C) $( - 2 / 5 , - 1 / 5 )$
(D) $( 2 / 5 , - 1 / 5 )$
30. On the ellipse $4 x 2 + 9 y 2 = 1$, the points at which the tangents are parallel to the line $8 \mathrm { x } = 9 \mathrm { y }$ are :\\
(A) $( 2 / 5,1 / 5 )$\\
B) $( - 2 / 5,1 / 5 )$\\
(C) $( - 2 / 5 , - 1 / 5 )$\\
(D) $( 2 / 5 , - 1 / 5 )$\\