Application of ...

The tangent to the curve $$ y=e^{2x} $$ at the point $$ (0,1) $$ meets x-axis at:

The slope of tangent to the curve $$ x=t^2+3t-8,y=2t^2-2t-5 $$ at the point $$ (2,-1) $$ is:

The line $$5x-2y+4k=0$$ is tangent to $$4x^{2}-y^{2}=36$$, then k is:

The function $$ f\left( x \right) =tan x-x $$

Which of the following function is decreasing on $$\left( 0,\frac { \pi  }{ 2 }  \right) $$

If the tangent at $$(1,1)$$ on $$y^{2}=x(2-x)^{2}$$ meets the curve again at $$P$$, then $$P$$ is

The slope of the tangent to the curve $$x = t^{2} + 3 t - 8, y = 2t^{2} - 2t - 5$$ at the point $$(2, -1)$$ is

The normal at the point $$(1, 1)$$ on the curve $$2y + x^{2} - 3$$ is .............

The normal to the curve $$x^{2} = 4y$$ passing $$(1, 2)$$ is

The line $$y = mx + 1$$ is a tangent to the curve $$y^{2} = 4x$$ if the value of m is .......