The curve `y=x^3+x^2-x` has two horizontal tangents. The distance between these two horizontal lines, is `(13)/9` (b) `(11)/9` (c) `(22)/(27)` (d) `(32)/(27)`

Consider the lines 2x-3y+9=0 and 2x-3y+7=0 Find the distance between these two lines.

The point on the curve y=6x-x^2 at which the tangent to the curve is inclined at pi//4 to the line x+y=0 is (-3,\ -27) (b) (3,\ 9) (c) 7//2,\ 35//4) (d) (0,\ 0)

An ellipse has point (1,-1)a n d(2,-1) as its foci and x+y-5=0 as one of its tangents. Then the point where this line touches the ellipse is (a) ((32)/9,(22)/9) (b) ((23)/9,2/9) (c) ((34)/9,(11)/9) (d) none of these

An ellipse has point (1,-1)a n d(2,-1) as its foci and x+y-5=0 as one of its tangents. Then the point where this line touches the ellipse is (a) ((32)/9,(22)/9) (b) ((23)/9,2/9) (c) ((34)/9,(11)/9) (d) none of these

The point on the curve y=6x-x^2 at which the tangent to the curve is inclined at pi//4 to the line x+y=0 is (a) (-3,\ -27) (b) (3,\ 9) (c) 7//2,\ 35//4) (d) (0,\ 0)

An ellipse has point (1,-1) and (2,-1) as its foci and x+y-5=0 as one of its tangents.Then the point where this line touches the ellipse is ((32)/(9),(22)/(9))( b) ((23)/(9),(2)/(9))((34)/(9),(11)/(9))(d) none of these

The angle between the lines 4x-y+9=0, 25x+15y+27=0 is

A point on the curve y=2x^(3)+13x+5x+9 the tangent at which,passes through the origin is