The point of intersection of tangent to the curve `y=x^4` at `(1,1)` with the normal to the same curve at `(-1,1)` is (A) `((17)/(15),(13)/(15))` (B) `(7/5,3/5)` (C) `((17)/(15),(23)/(15))` (D) does not exist

Does there exists line/lines which is/are tangent to the curve y=sinx at (x_1, y_1) and normal to the curve at (x_2, y_2)?

Does there exists line/lines which is/are tangent to the curve y=sinx \ a t(x_1, y_1) and normal to the curve at (x_2, y_2)?

The slope of the tangent to the curve (y-x^5)^2=x(1+x^2)^2 at the point (1,3) is.

Find the point of intersection of the tangents drawn to the curve x^2y=1-y at the points where it is intersected by the curve x y=1-ydot

Find the slopes of the tangent and the normal to the curve x^2+3 y2=5 at (1,1)

Find the equation of the tangent line to the curve y=x^2-2x+7 which is perpendicular to the line 5y-15 x=13 .

Find the slopes of the tangent and the normal to the curve x^2+3y+y^2=5 at (1,\ 1)

Find the slopes of the tangent and the normal to the curve x^2+3y+y^2=5 at (1, 1)

{:((15)/(x) + (2)/(y) = 17),((1)/(x) + (1)/(y)= (36)/(5)):}

The sides of a rhombus are parallel to the lines x+y-1=0 and 7x-y-5=0. It is given that the diagonals of the rhombus intersect at (1, 3) and one vertex, A of the rhombus lies on the line y=2x . Then the coordinates of vertex A are (a) (8/5,(16)/5) (b) (7/(15),(14)/(15)) (c) (6/5,(12)/5) (d) (4/(15),8/(15))