My prof gave me lots of questions to answer but I have too little time A little help would be much appreciated, all questions are related to analytical geometry. Exercise 1* 1.Draw the Circle whose center is at (5,-3) and touching the x-axis at (5,0). Does this circle pass through (3,-1)? Through (5,-6)? * 2. Show that the points (-2,2), (5,-8) and (-9,12) are collinear. * 3. Show that the points (-2,-1), (8,3) and (1,6) are the vertices of a right triangle. Then find the area of the triangle. Exercise 1.1Express the given statement by an equation. Draw the figure described. * The point (x,y) is 6 units from (-2,7) Locate the points and satisfy the given condition. * Equidistant from (-8,-3), (-2,5) and (4,3) Use the given graph to find the following () * Coordinates of points Q, T and W* Length of the line segment TU* Length of the line segment VW* Length of the line segment QS Next Find the area of the triangle with vertices (6,7), (1, -2) and (-7,-1) Exercise 2 * Three vertices of a parallelogram are at (-2,3), (-4,-2) and (2, -4). Find the fourth vertex. There are 3 possible answers one answer is enough. * The line segments joining the points (-3, -1) and (6,4) is divided into two segments, one of which is three times as long as the other. Find the point of division. There are 2 possible answers one answer is enough * The line segments joining points A(1, -2) and B (7,5) is extended through A by a point P such that P is three times as far from B as from A. Find the coordinates of P. Exercise 3 Draw the line passing through the given point and having indicated the inclination * (9,1) Angle of inclination=150 degrees Exercise 3.1 Solve the ff. * Show using the slopes that the points (2, -3), (6, -1) and (6,-11) are vertices of a right triangle * Show using the slopes that the points (-7,2), (-3,-3), (2,1) and (-2,6) form a rectangle * Find the acute and obtuse angles between line1 passing through the points (1,8) and (6,2), and line2 passing through the points (-1,-3) and (2,11) * The cross section of a hut , 20 feet wide at its base is an isosceles triangle. If the slope of the side is 1.75 and a second floor is 9 feet above the ground floor, what is the width of the second floor? what is the angle at the tip of the hut? * Find the interior angles of the triangle whose sides are on the lines x+y-5=0, x-y-5=0 and 5x+y-1=0. There are more questions I’ve marked the questions and can be found here () ALL THE HELP IS PRETTY MUCH GREATLY APPRECIATED THANK YOU!
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