An ellipse slides between two perpendicular straight lines. Then identify the locus of its center.

An ellipse of semi-axes a, b slides between two perpendiuclar lines. Prove that the locus of its foci is (x^2 + y^2) (x^2 y^2 + b^4) = 4a^2 x^2 y^2 , the two lines being taken as the axes of coordinates.

A line of fixed length a+b moves so that its ends are always on two fixed perpendicular straight lines. Then the locus of the point which divides this line into portions of length aa n db is (a) an ellipse (b) parabola (c) straight line (d) none of these

A line of length a+b moves in such a way that its ends are always on two fixed perpendicular straight lines. Then the locus of point on this line which devides it into two portions of length a and b ,is :

If the extremities of a line segment of length l moves in two fixed perpendicular straight lines, then the locus of the point which divides this line segment in the ratio 1 : 2 is-

A rod of length / slides with its ends on two perpendicular lines. Find the locus of its mid-point.

A rod of length l slides with its ends on two perpendicular lines. Find the locus of its midpoint.

A rod of length l slides with its ends on two perpendicular lines. Find the locus of its midpoint.

An iron rod of length 2l is sliding on two mutually perpendicular lines . Find the locus of the midpoint of the rod.

Two masses nm and m , start simultaneously from the intersection of two straight lines with velocities v and nv respectively. It is observed that the path of their centre of mass is a straight line bisecting the angle between the given straight lines. Find the magnitude of the velocity of centre of mass. [Here theta= angle between the lines]

A circle cuts two perpendicular lines so that each intercept is of given length. The locus of the centre of the circle is conic whose eccentricity is