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)`

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.

Find the point on the curve y=x^(3)-6x^(2)+x+3 where the normal is parallel to the line x + y = 1729.

Find the points on the curve y = x^(3) -6x^(2) + x + 3 where the normal is parallel to the line x + y = 1729

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)

If an ellispe 5x^(2) + 7y^(2) =11 the point (4,-3) lies _____ the ellipse

Find the equation of line passing through (-2,4,-5) and is parallel to the line (x+3)/3=(y-4)/5=(z+8)/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]

Find the equation of the line which is parallel to 3x-2y+5=0 and passes through the point (5,-6)

Perpendiculars are drawn from points on the line (x+2)/2=(y+1)/(-1)=z/3 to the plane x + y + z=3 The feet of perpendiculars lie on the line (a) x/5=(y-1)/8=(z-2)/(-13) (b) x/2=(y-1)/3=(z-2)/(-5) (c) x/4=(y-1)/3=(z-2)/(-7) (d) x/2=(y-1)/(-7)=(z-2)/5