Grade 11Analytical Geometry
1)if through the angular points of a triangle, straight lines are drawn parallel to the sides and if the intersections of these lines be joined to the opposite angular points of triangle, then show that the joining lines will meet in a point.2)Find the equations to the straight lines passing through the foot of perpendicular from (h,k) upon the straight line ax+by+c=0 and bisecting the angles between the perpendicular and the given straight line.3)Find the direction in which a straight line must be drawn through the point (1,2) so that its point of intersection with the line x+y=4 may be at a distance 1/3√6 from this point.
1)if through the angular points of a triangle, straight lines are drawn parallel to the sides and if the intersections of these lines be joined to the opposite angular points of triangle, then show that the joining lines will meet in a point.
2)Find the equations to the straight lines passing through the foot of perpendicular from (h,k) upon the straight line ax+by+c=0 and bisecting the angles between the perpendicular and the given straight line.
3)Find the direction in which a straight line must be drawn through the point (1,2) so that its point of intersection with the line x+y=4 may be at a distance 1/3√6 from this point.
