Find the equation of the straight line bisecting the segment joining the points `(5, 3)` and `(4,4)` and making an angle of `45^@` with the positive direction of X-axis.

Find the equation of the right bisector of the line segment joining the points (3,4) and (-1,2) .

Find the equation of the right bisector of the line segment joining the points (3,4) and (-1,2).

Find the mid point of the line segment joining the points (3, 0) and (-1, 4)

Find the equation of a straight line on which length of perpendicular from the origin is four units and the line makes an angle of 120° with the positive direction of X -axis. Thinking Process : Equation of line which makes an angle alpha with positive side of X axis and whose length of perpendicular from origin p is given by x cos alpha+ y sin alpha = p .

Find the coordinates of the points of trisection of the line segment joining the points A(2,-2) and B(-7, 4).

Find the coordinate of the points which trisect the line segment joining the points A(2, 1, -3) and B(5, -8, 3).

If the equation of the pair of straight lines passing through the point (1,1) , one making an angle theta with the positive direction of the x-axis and the other making the same angle with the positive direction of the y-axis, is x^2-(a+2)x y+y^2+a(x+y-1)=0,a!=2, then the value of sin2theta is (a) a-2 (b) a+2 (c) 2/(a+2) (d) 2/a

In which ratio does the line 3x+4y=7 divide the line-segment joining the points (1, 2) and (-2, 1) ?