# Calendar: 1888-1889 Page 752

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744 ENGINEERING DEPARTMENT through point or ii series of parallel straight lines according as or and are considered capable of change Write down the equation of straight line through parallel to mx j- and of straight line through py ρ perpendicular to 3x f4 OACB is square side find the equations of the six straight lines joining the middle points of its sides referred to OA OB as axes Shew how to find the angle between two straight lines of which the equations are given and find the ratio in order that ax tyf and Ay may make an angle of 45 Draw the circles x2 y2 25 ii x2 y2 Ax iii φ y2 Ax 6y iv y2 x-3 x-l 10 Find the equation of the circumcircle of the triangle χ formed by χ -U Φ 11 Prove that 4y touches x2 y2 25 if 25 and if be not equal to 25 shew how to determine whether the line cuts the circle or not Find in order that mx may touch 3a -f- 12 Find the length of the tangent drawn from Λ to touch anc prove that the locus of the points from which tangents to two circles are equal is straight line Ill-$ftp fttat ant Utgl SECOND AND THIRD YEARS What is the dew-point' How is the deposition of dew affected by the presence or absence of clouds in the sky table-knife with black handle is exposed to the atmosphere in the evening explain which part of the knife the handle or the blade will be first covered with dew

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