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.

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

The curve for which the ratio of the length of the segment intercepted by any tangent on the Y-axis to the length of the radius vector is constant (k), is

The length of normal at any point to the curve, y=c cosh(x/c) is

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

Prove that the chords inclined on the same angle to the radius or diameter of a circle are equal in length.

For a curve (length of normal)^2/(length of tangent)^2 is equal to

The line y=mx+c will be a normal to the circle with radius r and centre at (a,b) if

A circle touches the line L and the circle C_1 externally such that both the circles are on the same side of the line, then the locus of centre of the circle is (a) Ellipse (b) Hyperbola (c) Parabola (d) Parts of straight line

The locus of the centre of a circle which cuts a given circle orthogonally and also touches a given straight line is (a) circle (c) parabola (b) line (d) ellipse