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`. Find coordinates of q also find equation of curve

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 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 Qdot If P Q 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)dot

A normal is drawn at a point P(x , y) of a curve. It meets the x-axis at Qdot If P Q 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)dot

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/(O A)+1/(O B) =1, where O is the origin. Find the equation of such a curve passing through (5, 4)

A normal at P(x , y) on a curve meets the x-axis at Q and N is the foot of the ordinate at Pdot If N Q=(x(1+y^2))/(1+x^2) , then the equation of curve given that it passes through the point (3,1) is

A normal at P(x , y) on a curve meets the x-axis at Q and N is the foot of the ordinate at Pdot . If N Q=(x(1+y^2))/(1+x^2) , then the equation of curve given that it passes through the point (3,1) is

The tangent at any point P on y^2 = 4x meets x-axis at Q, then locus of mid point of PQ will be

The tangent at any point P of a curve C meets the x-axis at Q whose abscissa is positive and OP = OQ, O being the origin, the equation of curve C satisfying these conditions may be

A normal drawn at a point P on the parabola y^2 = 4ax meets the curve again at Q. The least distance of Q from the axis of the parabola, is