The curve for which the length of the normal is equal to the length of the radius vector is/are (a)   circles                      (b) rectangular hyperbola (c)   ellipses                     (d)  straight lines

Find the curve for which the length of normal is equal to the radius vector.

The curve with the property that the projection of the ordinate on the normal is constant and has a length equal to a is

Find the minimum length of radius vector of the curve (a^2)/(x^2)+(b^2)/(y^2)=1

Prove that the locus of a point, which moves so that its distance from a fixed line is equal to the length of the tangent drawn from it to a given circle, is a parabola.

The curve in the first quadrant for which the normal at any point (x , y) and the line joining the origin to that point form an isosceles triangle with the x-axis as base is (a) an ellipse (b) a rectangular hyperbola (c) a circle (d) None of these

The length of the transverse axis of the rectangular hyperbola x y=18 is 6 (b) 12 (c) 18 (d) 9

The locus of a point which moves such that the sum of the square of its distance from three vertices of a triangle is constant is a/an (a)circle (b) straight line (c) ellipse (d) none of these

Determine p such that the length of the such-tangent and sub-normal is equal for the curve y=e^(p x)+p x at the point (0,1)dot

The locus of the point of intersection of the tangent at the endpoints of the focal chord of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 ( b < a) (a) is a an circle (b) ellipse (c) hyperbola (d) pair of straight lines

The normal to a curve at P(x , y) meet the x-axis at Gdot If the distance of G from the origin is twice the abscissa of P , then the curve is a (a) parabola (b) circle (c) hyperbola (d) ellipse