A normal to the curves `x^2+kx-y+2=0` at the point `P` whose abscissa is 1 is parallel to the line, `y=x`. Now answer the question. The value of `k` is equal to (A) `-3` (B) `1` (C) `0` (D) `2`

The equation of normal to the curve y=x^(3)-x^(2)-1 at the point whose abscissa is -2, is

Find the equation of the normal to the curve x^2+2y^2-4x-6y+8=0 at the point whose abscissa is 2.

A chord is drawn to the curve x^(2)+2x-y+2=0 at the point whose abscissa is 1, and it is parallel to the line y=x. Find the area in the first quadrant bounded by the curve,this chord and the y- axis.

Find the equation of the normal to the curve x^(2)+2y^(2)-4x-6y+8=0 at the point whose abscissa is 2 .

The equation of normal to the curve x^(2)+y^(2)=5 , where the tangent is parallel to the line 2x-y+1=0 is

The normal to the curve y=x^2-x+1 drawn at the points with the abscissa x_1=0,x_2=-1 and x_3=5/2

The equation of normal to the curve y=6-x^(2), where the normal is parallel to the line x-4y+3=0 is

If tangent to the curve y^(2)+3x-7=0 at the point (h,k) is parallel to line x-y=4, then value of k is ___ ?

The point of the curve y^(2)=2(x-3) at which the normal is parallel to the line y-2x+1=0 is

If the normal to the curve y (x) = int _(0) ^(2) (2 t ^(2) - 15 t + 10) dt at a point (a,b) is parallel to the line x + 3y = 5, a gt 1, then the value of |a + 6b| is equal to "________"