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

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 perpendicular from the foot of the ordinate to the tangent is of constant length.

Find the points on the curve y = x 3 at which the slope of the tangent is equal to the y-coordinate of the point.

At any point on the curve 2x^2y^2-x^4=c , the mean proportional between the abscissa and the difference between the abscissa and the sub-normal drawn to the curve at the same point is equal to or d in a t e (b) radius vector x-in t e r c e p toft a nge n t (d) sub-tangent

Three normals are drawn from the point (c, 0) to the curve y^2 = x . Show that c must be greater than 1/2. One normal is always the axis. Find c for which the other two normals are perpendicular to each other.

Find the vectors whose length 5 and which are perpendicular to the vector veca=3veci+vecj-4veck and vecb=6veci+5vecj-2veck .

The length of a vector is _______

Find the vectors whose length is 5 and which are _|_^(r) to the vectors veca=3hati+hatj-4hatk and vecb=6hati+6hatj-2hatk .