A normal is drawn at a point P(x, y) of a curve lt meets the x-axis at Q lf PQ is of constant length k such a curve passing through (0,k) is

A normal is drawn at a point P(x,y) of a curve It meets the x-axis at Q If PQ is of constant length k such a curve passing through (0,k) is

A normal is drawn at a point P(x,y) of a curve. It meets the x-axis at Q such that PQ is of constant length k . Answer the question:If the curve passes through the point (0,k) , then its equation is (A) x^2-y^2=k^2 (B) x^2+y^2=k^2 (C) x^2-y^2=2k^2 (D) x^2+y^2=2k^2

A normal is drawn at a point P(x,y) of a curve. It meets the x-axis at Q such that PQ is of constant length k . Answer the question:The differential equation describing such a curve is (A) y dy/dx=+-sqrt(k^2-x^2) (B) x dy/dx=+-sqrt(k^2-x^2) (C) y dy/dx=+-sqrt(k^2-y^2) (D) x dy/dx=+-sqrt(k^2-y^2)

A normal is drawn at a point P(x,y) of a curve.It meets the x-axis at Q. If PQ has constant length k, then show that the differential equation describing such curves is y(dy)/(dx)=+-sqrt(k^(2)-y^(2)). Find the equation of such a curve passing through (0,k).

A normal is drawn at a point P(x,y) on a curve.It meets the x-axis and thedus ofthe director such that (x intercept) ^(-1)+(y- intercept) ^(-1)=1, where O is origin,the curve passing through (3,3).

A normal is drawn at a point P(x,y) of a curve.It meets the x-axis and the y-axis in point A AND B, respectively,such that (1)/(OA)+(1)/(OB)=1, where O is the origin.Find the equation of such a curve passing through (5,4)

A tangent and a normal to a curve at any point P meet the x and y axes at A,B and C,D respectively.Find the equation of the curve passing through (1,0) if the centre of circle through O.C,P and B lies on the line y=x (where O is the origin).