The tangent to the curve `y = e^(2x) ` at (0,1) meets the x-axis at

The tangent to the curve y=e^(k x) at a point (0,1) meets the x-axis at (a,0), where a in [-2,-1] . Then k in (a) [-1/2,0] (b) [-1,-1/2] [0,1] (d) [1/2,1]

The tangent to the curve y=e^(k x) at a point (0,1) meets the x-axis at (a,0), where a in [-2,-1] . Then k in [-1/2,0] (b) [-1,-1/2] [0,1] (d) [1/2,1]

The equation of the tangent to the curve y = e^(2x) at (0,1) is

A line is drawn from a point P(x, y) on the curve y = f(x), making an angle with the x-axis which is supplementary to the one made by the tangent to the curve at P(x, y). The line meets the x-axis at A. Another line perpendicular to it drawn from P(x, y) meeting the y-axis at B. If OA = OB, where O is the origin, theequation of all curves which pass through ( 1, 1) is

Show that the tangent to the curve 3x y^2-2x^2y=1a t(1,1) meets the curve again at the point (-(16)/5,-1/(20))dot

Show that the tangent to the curve 3x y^2-2x^2y=1a t(1,1) meets the curve again at the point (-(16)/5,-1/(20))dot

Find the equation of the tangent to the curve (1+x^2)y=2-x , where it crosses the x-axis.

Find the equation of the tangent to the curve (1+x^2)y=2-x , where it crosses the x-axis.

The tangent to the curve given by x = e^(t) cos t y = e^(t) " sin t at t " = (pi)/(4) makes with x-axis an angle of

If the tangent to the curve x y+a x+b y=0 at (1,1) is inclined at an angle tan^(-1)2 with x-axis, then find a and b ?