Application of ...

The angle formed bt the positive y-axis and the tangent to $$y = x^{2}+4x-17$$ at $$(5/2, -3/4)$$ is

The abscissa of a point on the curve $$xy = (a+y)^{2}$$, the normal which cuts off numerically equal intercept from the coordinate axes, is 

The co-ordinates of the point (s) on the graph of the function $$f(x)= \dfrac{x^{3}}{3} - \dfrac{5x^{2}}{2} + 7x - 4$$, where the tangent drawn cuts off intercept from the co-ordinate axes which

The triangle by the tangent to the curve $$f(x) = x^{2} bx -b$$ at the point (1, 1) and the co-ordinate axes lies in the first quadrant. If its area is 2, then the value of b is 

If the normal to the curve y = f(x) at the point (3, 4) makes an angel $$\dfrac{3\pi }{4}$$ with the positive x-axis, then f'(3) is equal to

The curve possessing the property text the intercept made by the tangent at any point of the curve on the $$y-$$ axis is equal to square of the abscissa of the point of tangency, is given by

Let $$f(x, y)$$ be a curve in the $$x-y$$ plane having the property that distance from the origin of any tangent to the curve is equal to distance of point of contact from the $$y-$$ axis. Of $$f(1, 2)=0$$, then all such possible curves are 

The angle between the tangents at ant point P and the line joining P to the original, where P is a point on the curve in $$(x^{2}+y^{2})=c \tan ^{-1}\dfrac{y}{x},c$$ is a constnt, is 

Consider a curve $$y=f(x)$$ in $$xy$$- plane. The curve passes through $$(0,0)$$ and has the property that a segment of tangent drawn at any point $$P(x, f(x))$$ and the line $$y=3$$ gets bisected by the line $$x+y=1$$, then the equation of the curve is 

The percentage error in the $$11^{th}$$ root of the number $$28$$ is approximately _______ times the percentage error in $$28$$.