If x=y is a tangent to the curve `y=x^(2)+bx+c` at (1,1) then

Find the equation of the tangent of the curve y=3x^(2) at (1, 1).

If the slope of tangent to the curve y=ax^(3)-bx^(2) at x=1 is equal to 3 ,where a in[1,2] then number of possible integral values of b is

Find tangent of curve y=x^(3)-x at x=1

Does there exists line/lines which is/are tangent to the curve y=sin x at (x_(1),y_(1)) and normal to the curve at (x_(2),y_(2))?

The line y=mx+1 is a tangent to the curve y^(2)=4x if the value of m is (A) 1(B)2(C)3(D)(1)/(2)

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

Slope of tangent of the curve y=x^2+x+1 at x=1 is ___

The length of the tangent of the curve y=x^(2)+2 at (1, 3) is

The equation of the tangent to the curve y=1-e^(x//2) at the tangent to the curve y=1-e^(x//2) at the point of intersection with the y-axis, is