Tangents and it...

The equation of normal to the curve $$2y=3-{ x }^{ 2 }$$ at the point $$\left(1,1\right)$$

equation of tangent at $$(0,0)$$ for the equation $$y^2=16x$$

The intercept on x-axis made by tangent to the curve, $$\displaystyle y=\int _{ 0 }^{ x }{ \left| t \right|  } dt,x\in R$$, which are parallel to the line $$y=2x$$, are equal to

The area of triangle formed by tangent and normal at point $$(\sqrt{3}, 1)$$ of the curve $$x^2+y^2=4$$ and x-axis is?

The tangent to the curve $$y=e^{kx}$$ at a point (0, 1) meets the x-axis at (q, 0) where $$a \epsilon  \left [ -2,-1 \right ]$$ then $$k \epsilon $$ 

If the slope of the tangent to the curve $$xy+ ax+ by=0$$ at the point $$(1, 1) $$ on it is $$2$$, then values of $$a$$ and $$b$$ are

If the slope of the tangent to the curve $$y = x^{3}$$ at a point on it is equal to the ordinate of the point then the point is

The area of the triangle formed by the tangent to the curve  $$\displaystyle y=\frac{8}{4+x^{2}}$$ at $$x=2$$ on it and the $$x$$-axis is

The two curves $$y=x^{2}-1$$ and $$y=8x-x^{2}-9$$ at the point $$(2, 3)$$ have common