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Basic Mathematics (F.Y. Dip. Sem. |) 9-42 Straight Line, , , , (3) Attempt the following :, , (a) Find *K’, if the point (7, K) lies on the line passing through the points (3,6) and, (-5,-2)., Find the equation of the line passing through the mid-point of the line joining (2, 7), and (4, 1) and parallel to 2x + 5y = 7., , (b, , (c) Find the equation of a line passing through the point (1, 6) and parallel to the line, x+6oy-1=0, , (d) Find equation of a line passing through (2, 4) and parallel to the line having, intercepts —S and 10 on the co-ordinate axes., , (e) Find the equation of a line passing through (6, 5) and parallel to the line which makes, intercepts 2 and 4 on co-ordinate axes., , (f) Find the equation of a line passing through (4, 5) and perpendicular to the line, 7x —Sy = 420., , (g) Find the equation of a line passing through (2, 0) and perpendicular to x + y +3 = 0., , (h) Find P, if the line joining (4,5) and (P,—S) is bisected by the line 2x + 3y —6 = 0., , (i) Find the equation of a line through (3, —1) and perpendicular to the line, 2x-3y-1 = 0., , (4) Attempt the following :, , (a) Find the equation of a line passing through (2, 5) and the point of intersection of, x+y=0 and 2x-y = 9., , (b) Find the equation of a line passing through the point of intersection of lines, x~2y-5 = 0 and x +3y = 10 and parallel to the line 3x + 4y = 0., , (c) Find the equation of the straight line passing through the point of intersection of the, lines 4x + 3y = 8 and x+y = | and parallel to the line 5x —7y = 3., , (d, , Find the equation of a line passing through the point of intersection of the lines, 2x+3y = 13, 5x—y-—7 = 0 and perpendicular to the line 3x—2y +7 = 0., (e) Find the equation of the line passing through intersection of lines 2x + y = 10 and, 2x—y = 14 and perpendicular to the line 3x—y +6 = 0., (f) Find the equation of the straight line passing through the point of intersection of lines, 4x +3y = 8 and x+y = | and perpendicular to the line 7x + Sy = 9., (g) Find the equation of a line passing through the point (3, 2) and the point of, intersection of the lines 2x + 3y = 1 and 3x~4y = 4., (5) Attempt the following :, (a) Find the equation of the line making equal positive intercepts on co-ordinate axes and, passing through the point (-2, 7)., , Scanned by CamScanner
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Basic Mathematics (F.Y. Dip. Sem. !), , (6, , 9-43 Straight Line, , (b) Find the equation of a line which makes equal and positive intercepts on co-ordinate, axes and passing through the point (4, 5)., , (c) Find the equation of the line passing through (5, 6) and making equal intercepts on, the co-ordinate axes., , (d) Find the equation of a line which makes equal intercepts of opposite signs on the axes, and passes through (4, 3)., , (e) Find the equation of a line which passes through (—3, 8) and sum of the intercepts, made by the line on the co-ordinate axes is 7., , (f) Find the equation of a line whose intercept on x-axis is double than that on the y-axis, and passing through the point (4, 1)., , (g) The x-intercept of a line is double its y-intercept. It passes through (2, 4). Find its, equation,, , (h) Find the equation of a straight line which passes through the point (—5S, 4) and such, that the portion of it between the axes is bisected by the point., , (i) Find the equation of the straight line whose portion between the axes is bisected at, the point (3, 4)., , (j) Find the equations of lines which pass through (—3, 10) and the sum of whose x and, y-intercepts is 8., , (k) A line meets the co-ordinate axes at the points A and B respectively. If P (6, 3), divides seg AB in the ration | : 3, find the equation of the line., , Attempts the following :, , (a) Find the equation of a line which is perpendicular bisector of the line joining points, (8, -2) and (6, 4)., , (b) Find the equation of a line through (~4, —3) and perpendicular to the line joining, (1, 3) and (2, 7)., , (c) Find the equation of the perpendicular bisector of AB where A (3, —4) and, B (-4, 3)., , (d) Find the equation of perpendicular bisector of the segment joining points A (4, 6), and B (10, 8)., , (e) Find the equation of the perpendicular bisector of the line segment joining points, A (10,4) and B (-4, 9)., , (f) Find the co-ordinates of the foot of the perpendicular drawn from (1, 2) to the line, x-—3y+7=0., , (g) Find the co-ordinates of the foot of the perpendicular form the point (—6, 2) on the, line 3x—4y+1 = 0., , (7) Attempt the following :, , (a) If A (3,1), B(-1, 3), C(-3, -2) are the vertices of A ABC, find the equation of, median AD., , Scanned by CamScanner
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Basic Mathematics (F.Y. Dip. Sem. |) 9-44 Straight Line, (b) Find the equations of the sides of a triangle whose vertices are (0, 1), (2,0) and, (-1, -2)., , (c) Find the equations of the diagonals of the rectangle whose sides are along the lines, x=-l, x=3, y=-2 andy = 4., , (d) If A(-1, 1) and C (3, —5) are the opposite vertices of the square ABCD, find the, equation of the diagonal BD and side AB., , (e) A(2,-5), B(-2, 1) and C (4, 7) are the vertices of AABC., Find the equation of :, (i) Altitude from A (ii) Median form B, (iii) Perpendicular bisector of seg AB., , (f) If A(1, 4), B(2,-3) and C (-1, -2) are the vertices of A ABC, find the equation, of :, , (i) the median through A (ii) the altitude through B, (iii) the perpendicular bisector of AB., , Scanned by CamScanner
