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=x^(2)-5x+5 . parallel to the line 2y=4x+1, also passes through the point:

The tangent to the curve y=x^2-5x+5. parallel to the line 2y=4x+1, also passes through the point :

The tangent to the curve y=x^2-5x+5. parallel to the line 2y=4x+1, also passes through the point :

The tangent to the curve y=x^2-5x+5. parallel to the line 2y=4x+1, also passes through the point :

The tangent to the curve y=x^(2)+3x will pass through the point (0,-9) if it is drawn at the point

Given the curves y=f(x) passing through the point (0,1) and y=int_(-oo)^(x) f(t) passing through the point (0,(1)/(2)) The tangents drawn to both the curves at the points with equal abscissae intersect on the x-axis. Then the curve y=f(x), is

Given the curves y=f(x) passing through the point (0,1) and y=int_(-oo)^(x) f(t) passing through the point (0,(1)/(2)) The tangents drawn to both the curves at the points with equal abscissae intersect on the x-axis. Then the curve y=f(x), is

Given the curves y=f(x) passing through the point (0,1) and y=int_(-oo)^(x) f(t) passing through the point (0,(1)/(2)) The tangents drawn to both the curves at the points with equal abscissae intersect on the x-axis. Then the curve y=f(x), is

The circle passing through the point (-1,0) and touching the y -axis at (0,2) also passes through the point: