Calendar: 1861-1862 Page 494

GENERAL LITERATURE AND SCIENCE 495 Find the law of force tending to the focus of parabola 10 body is moving in parabola force in focus when it comes to the extremity of the latus rectum the force is suddenly changed into repulsive one determine the nature of the new orbit 11 If the surface of solid of revolution prove that χ try -j- being the length of the curve and χ the co- ordinates of its extremity Ex Find the equation to the surface of the solid generated by the revolution of the tractory round the axis of sin θ 12 Trace the curve defined by a1-jr and find the cos β area of the part between the values θ and θ ΐ MATHEMATICS -MIDDLE SCHOLARSHIP -Comr tcttoni Find the equation to a' straight line in the form ρ χ cos sin ρ being the perpendicular from the origin and the angle it makes with the axis of From the extremities and Β of the base of the triangle ACB two lines AR BQ are drawn to the intersection of QR parallel to AB with the sides show that AR and BQ will intersect in the line from the vertex bisecting the base Find the length of the perpendicular from given point upon given line The equation to straight line is 2x line making an angle tan -1 with the axis passes through point and to meet it find the distance of the point from the line Inscribe parallelogram in triangle whose sides shall have given ratio