If the co-ordinates of A and B are (1, 1) and (5, 7), then the equation of the perpendicular bisector of the line segment AB is

The equation of the line which cuts off an intercept 3 units on OX and an intercept – 2 units on OY is

For the lines 2x + 5y = 1 and 2x – 5y = 9, which of the following statement is true?

A straight line through origin bisects the line passing through the given points (a cos⍺, a sin⍺) and (a cos⍺, a sin⍺), then the lines are

The equation of a line passing through the point of intersection of the lines 4x–3y–1=0 and 5x– 2y – 3 = 0 and parallel to the line 2y – 3x + 2 = 0 is

The equations of two equal sides of an isosceles triangle are 7x – y + 3 = 0 and x + y – 3 = 0 and the third side passes through the point (1, – 10). The equation of the third side is

The vertex of an equilateral triangle is (2, –l) and the equation of its base is x+2y=1.The length of its sides is

The line passing through the points (3, – 4) and (– 2, 6) and a line passing through (– 3, 6) and (9, – 18)

The equation of the line perpendicular to the line x / a – y/ b = 1  and passing through the point at which it cuts X-axis, is

For what values of a and b, the intercepts cut off on the coordinate axes by the line ax+by+8=0 are equal in length but opposite in sign to those cut off by the line 2x – 3y + 6 = 0 on the axes ?

A line passing through the point of intersection of 2x + y = 5 and x + 3y + 8 = 0 and parallel to the line 3x+4y=1 is

The point (– 4, 5) is the vertex of a square and one of its diagonals is 7x–y+8=0. The equation of the other diagonal is

Two points A and B have co-ordinates (1, 1) and (3, – 2) respectively. The co-ordinates of a point distant √85  from B on the line through B perpendicular to AB are