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

Find the points on the ellipse (x^2)/4+(y^2)/9=1 on which the normals are parallel to the line 2x-y=1.

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)

In an ellispe x^(2)/9 + y^(2)/5 = 1

The line 9x+y-18=0 is the chord of contact of the point P(h , k) with respect to the circle 2x^2+2y^2-3x+5y-7=0 , for (a) ((24)/5,-4/5) (b) P(3,1) (c) P(-3,1) (d) (-2/5,(12)/5)

If the tangent to the curve, y = x^(3) + ax -b at the point (1, -5) is perpendicular to the line, -x +y + 4 =0 , then which one of the following points lies on the curve ? (A) (-2, 2) (B) (2, -2) (C) (-2, 1) (D) (2, -1)

One of the diagonals of a square is the portion of the line x/2+y/3=2 intercepted between the axes. Then the extremities of the other diagonal are: (a) (5,5),(-1,1) (b) (0,0),(4,6) (c) (0,0),(-1,1) (d) (5,5),4,6)

If the ellipse (x^2)/4+y^2=1 meets the ellipse x^2+(y^2)/(a^2)=1 at four distinct points and a=b^2-5b+7, then b does not lie in (a) [4,5] (b) (-oo,2)uu(3,oo) (c) (-oo,0) (d) [2,3]

The equation of line through (2,1) and parallel to x+2y=5 is :

Which of the following is not the solution of (log)_x(5/2-1/x)> 1 (a)( 2/5,1/2) (b) (1,2) (c) (2/5 , 1) (d) Non of these

The director circle of the ellispe x^(2)/9 + y^(2)/5 = 1