If `9+f"(x)+f'(x)=x^2+f^2(x)` be the differential equation of a curve and let P be the point of minima of this curve then the number of tangents which can be drawn from P to the circle `x^2+y^2=8` is

If f''(x)+f'(x)+f^(2)(x)=x^(2) be the differentiable equation of a curve and let p be the point of maxima then number of tangents which can be drawn from p to x^(2)-y^(2)=a^(2) is/are……. .

If 9+f"(x)+ f'(x)=x^(2)+f^(2)(x) where f(x) is twice differentiable function such that f''(x)!=0AA x in R and P be the point of maxima of f(x) , then find the number of tangents which can be drawn from P to the circle x^(2)+y^(2)=9

Number of points from where perpendicular tangents can be drawn to the curve (x^(2))/(16)-(y^(2))/(25)=1 is

The numbers of tangent to the curve y-2=x^(5) which are drawn from point (2,2) is // are

Let the equation of the circle is x^(2)+y^(2)=4 Find the total no.of points on y=|x| from which perpendicular tangents can be drawn are.

Let a curve P:(y-2)^2=x-1 If a tangent is drawn to the curve P at the point whose ordinate is 3 then the area between the tangent , curve and x-asis is

Let (a,b) and (lambda,u) be two points on the curve y=f(x). If the slope of the tangent to the curve at (x,y) be?

Let C be the curve f(x)=ln^2x+2lnx and A(a,f(a)), b(b,f(b)) where (a

Let f(x) be a differentiable function and f(x)>0 for all x. Prove that the curves y=f(x) and y=sin kxf(x) touch each other at the points of intersection of the two curves.

Let the equation of a curve passing through the point (0,1) be given by=int x^(2)e^(x^(3))dx. If the equation of the curve is written in the form x=f(y), then f(y) is