Consider a curve `C : y=sqrt((3x^2-21)/7)` and a line L of slope `1`, which is tangent to `C` at point `A`, then

Consider the curve C_(1):x^(2)-y^(2)=1 and C_(2):y^(2)=4x then ,The number of lines which are normal to C_(2) and tangent to C_(1) is

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__.

Find the slope of tangent of the curve y =4x at the point (-1,4).

Find the equation of the curve passing through the point (-2,3) given that the slope of the tangent to the curve at any point (x,y) is (2x)/(y^(2))

The slope of the tangent line to the curve x+y=xy at the point (2,2) is

Find the slope of the tangent to the curve : y=x^(3)-2x+8 at the point (1, 7) .

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 - (a) (sqrt3,0) (b) (-1,2) (c) (-sqrt2,1) (d) (3,0)

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

Find the points on the curve y=x^(3) at which the slope of the tangent is equal to the y-coordinate of the point.