[" The curve represented by the "],[DExdy-ydx=ydy" intersect "y" - axis "],[" at "(0,1)" and the line "y=e" at "(a,b)" then the "],[" value of "a+b" is "]

The curve represented by the differential equation xdy-ydx=ydy intersects the y axis at A(0,1) and the line y=e at (a,b), then find a+b

The curve y=2e^(2x) intersect the y -axis at an angle cot^(-1)|(8n-4)/3| then the positive value of n is

If the normal line at (1, -2) on the curve y^2=5x-1 is ax - 5y +b=0 then the values of |a+b| is

If the normal line at (1,-2) on the curve y^(2)=5x-1 is ax-5y+b=0 then the values of a and b are

The tangent at a point P of a curve meets the y-axis at A, and the line parallel to y-axis at A, and the line parallel to y-axis through P meets the x-axis at B. If area of DeltaOAB is constant (O being the origin), Then the curve is

The curve y=x^(2)-7x+10 intersects the x- axis at the points A and B. Then the area bounded by the curve and the line AB is

The are bounded by the curve x = f[y] , the y-axis and the two lines y = a and y = b is equal to :

The co-ordinates of the point where line (x)/(a)+(y)/(b)=7 intersects y -axis are