The equation of tangent at `(x_1,y_1)`

The equation of tangent at P(x_(1),y_(1)) to the circle S=0 is given by

Equation of tangent at ' (x_(-)1y_(-)1)

Write the equation of tangent at (1,2) for the curve y=x^(3)+1

STATEMENT-1 : Tangent at any point P(x_(1), y_(1)) on the hyperbola xy = c^(2) meets the co-ordinate axes at points Q and R, the circumcentre of triangleOQR has co-ordinate (x_(1)y_(1)) . and STATEMENT-2 : Equation of tangent at point (x_(1)y_(1)) to the curve xy = c^(2) is (x)/(x_(1)) + (y)/(y_(1)) =2 .

STATEMENT-1 : Tangent at any point P(x_(1), y_(1)) on the hyperbola xy = c^(2) meets the co-ordinate axes at points Q and R, the circumcentre of triangleOQR has co-ordinate (x_(1)y_(1)) . and STATEMENT-2 : Equation of tangent at point (x_(1)y_(1)) to the curve xy = c^(2) is (x)/(x_(1)) + (y)/(y_(1)) =2 .

The equation of tangent to y=cos x at (0, 1) is ………..

The equation of the tangents at the origin to the curve y^(2)=x^(2)(1+x) are

The equation of the tangent to y=-2x^(2)+3 at x=1 is

The equation of the tangents at the origin to the curve y^2=x^2(1+x) are

Find the equation of the tangent to x^(2) + y^(2) - 2x + 4y=0 " at" (3,-1) Also find the equation of tangent parallel to it.