for parabola, ellipse, hyperbola
If the line y =x+k touches the hyperbola 9x2 -16y2 =144, then k = .............
Show that the line x+ 2y + 8 = 0 is tangent to the parabola y2 = 8x. Hence find the point of contact
Show that the product of lengths of perpendicular segments drawn from the foci to any tangent to the hyperbola `x^2/25 + y^2/16 = 1` is equal to 16.
The equation of tangent to the curve y = 3x2 - x + 1 at the point (1, 3) is
The equation of tangent to the curve y=`y=x^2+4x+1` at
(a) 2x -y = 0 (b) 2x+y-5 = 0
(c) 2x-y-1=0 (d) x+y-1=0