Let `C` be a curve passing through `M(2,2)` such that the slope of the tangent at anypoint to the curve is reciprocal of the ordinate of the point. If the area bounded by curve C and lin x=2i s A ,t h e nt h e v a l u e of `(3A)/2`i s__`

Let C be a curve passing through M(2,2) such that the slope of the tangent at any point to the curve is reciprocal of the ordinate of the point. If the area bounded by curve C and line x=2 is A, then the value of (3A)/(2) is__.

If m is the slope of the tangent to the curve e^(y)=1+x^(2) , then

A curve y=f(x) passes through the point P(1,1) . The normal to the curve at P is a(y-1)+(x-1)=0 . If the slope of the tangent at any point on the curve is proportional to the ordinate of the point. Determine the equation of the curve. Also obtain the area bounded by the y-axis, the curve and the normal to the curve at P .

Curve passing through (0,0) and slope of tangent to any point (x,y) is (x^2-4x+y+8)/(x-2) , then curve also passes through

Consider the curve y=e^(2x) What is the slope of the tangent to the curve at (0,1)

If m be the slope of the tangent to the curve e^(2y) = 1+4x^(2) , then

If a curve passes through the point (1, -2) and has slope of the tangent at any point (x,y) on it as (x^2-2y)/x , then the curve also passes through the point