Calendar: 1868-1869 Page 500

502 GENERAL LITERATURE AND SCIENCE III -Conic tt'on£i Draw the straight line cos θ ן and find whether the point is on it Show that 4y2 xy VH represents two straight lines inclined at an angle of 60 Given that the equation Ax2 Bxy Cy2 By Ex represents two straight lines find the angle hetween them If x2 y2 xy Ax ky represent circle find the radius and position of the centre ACB is triangle and CD JE perpendiculars to AB and CB find the co-ordinates of and and the distance DE the equations to AC and BC being known Find the angle between the two lines mx and my χ elt and the locus of their intersection when any values whatever are given to Find the equation to the straight line which passing through xy xv the point of intersection of -j and abba' bisects the angle between them Draw tangent to an ellipse and if TCt be the triangle cut off from the axes by tangent to the extremity of the latus rectum show that Δ TCt Δ SLH 62 ABC is triangle AB AC are taken for axes find the equation to the circle passing through and the equation to the tangents at and 10 Find the equation to the parabola whose focus is the origin and directrix the Mne χ 11 From the vertex of the parabola two chords AP and AQ are drawn at right angles Find the least area of the triangle APQ 12 chord Ρ is normal at Ρ in the parabola and the angle PAQ 13 right angle show that SQ SP