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)

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 .

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

" Equation of the tangent to "y^(2)=4a(x+a)" having slope "1" is "

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.

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.

Find the equation of the tangent to x^(2) + y^(2) - 6x + 4y - 12 = 0 " at " (-1,1)

" 24.Show that the equation of tangent at the point "P(x_(1)+y_(1))" on the curve "sqrt(x)+sqrt(y)=sqrt(a)" is "xx_(1)^((-1)/(2))+yy_(1)^((-1)/(2))=a^((1)/(2))