In the curve `y=x^(3)+ax and y=bx^(2)+c` pass through the point `(-1,0)` and have a common tangent line at this point then the value of `a+b+c` is

If the curve y=ax^(2)+bx+c , x in R ,passes through the point (1,2) and the tangent line to this curve at origin is y=x, then the possible values of a,b,c are:

Let C be a curve defined by y=e^(a+bx^(2)) .The curve C passes through the point P(1,1) and the slope of the tangent at P is (-2). Then the value of 2a-3b is

Let C be a curve defined by y=e^(a+b x^2)dot The curve C passes through the point P(1,1) and the slope of the tangent at P is (-2)dot Then the value of 2a-3b is_____.

Let C be a curve defined by y=e^(a+b x^2)dot The curve C passes through the point P(1,1) and the slope of the tangent at P is (-2)dot Then the value of 2a-3b is_____.

Let C be a curve defined by y=e^a+b x^2dot The curve C passes through the point P(1,1) and the slope of the tangent at P is (-2)dot Then the value of 2a-3b is_____.

If the curve y=ax^(2)+bx+c passes through the point (1, 2) and the line y = x touches it at the origin, then

If the curve y=ax^(2)+bx+c passes through the point (1, 2) and the line y = x touches it at the origin, then

The tangent to the curve y=xe^(x^2) passing through the point (1,e) also passes through the point

The tangent to the curve y=xe^(x^2) passing through the point (1,e) also passes through the point

The tangent to the curve y=xe^(x^2) passing through the point (1,e) also passes through the point