On the ellipse `4x^2+9y^2=1,` the points at which the tangents are parallel to the line `8x=9y` are `(2/5,1/5)` (b) `(-2/5,1/5)` `(-2/5,-1/5)` (d) `(2/5,-1/5)`

On the ellipse 4x^(2)+9y^(2)=1 , the points at which the tangent are parallel to the line 8x=9y are

On the ellipse 2x^(2)+3y^(2)=1 the points at which the tangent is parallel to 4x=3y+4 are ( i )((2)/(sqrt(11)),(1)/(sqrt(11))) or (-(2)/(sqrt(11)),-(1)/(sqrt(11))) (ii) (-(2)/(sqrt(11)),(1)/(sqrt(11))) or ((2)/(sqrt(11)),-(1)/(sqrt(11))) (iii) (-(2)/(5),-(1)/(5)) (iv) ((3)/(5),(2)/(5)) or (-(3)/(5),-(2)/(5))

The coordinates of the point on the curve y=6x-x^(2) the tangent at which is parallel to the line y=-4x are (a) (5,5) (b) (5,-5) (c) (-5,5) (d) (-5,-5)

A point on the ellipse x^(2)+3y^(2)=37 where the normal is parallel to the line 6x-5y=2 is (5,-2) (b) (5,2)(c)(-5,2)(d)(-5,-2)

A point on the ellipse,4x^(2)+9y^(2)=36, where the normal is parallel to the line,4x-2y-5=0 is (A) ((8)/(5),-(9)/(5))(B)(-(9)/(5),(8)/(5))(C)((8)/(5),(9)/(5))(D)((9)/(5),(8)/(5))

Find the equations of the tangents to the hyperbola 4x^2 - 9y^2 = 36 which are parallel to the line 5x-3y=2 .

Find the equation of tangent of the curve y^(2) = 4x+5 which is parallel to the line 2x-y=5 .

Equation of the tangents to the ellipse x^2/9 + y^2/16 = 1 which are parallel to the line x+y+1=0 are (A) x+y+5=0 (B) x+y-5=0 (C) x+y+6=0 (D) x+y-6=0

Consider the ellipses E_1:x^2/9+y^2/5=1 and E_2: x^2/5+y^2/9=1 . Both the ellipses have