Straight Line a...

A line through the point A(2, 0) which makes an angle of 30° with the positive direction of x-axis is rotated about A in clockwise direction through an angle 15°. Then the equation of the straight line in the new position is

The equations of the lines which pass through the origin and are inclined at an angle tan^–1 m to the line y = mx + c, are

The equations of the lines through the point of intersection of the lines x – y + 1 = 0 and 2x – 3y + 5 = 0 and whose distance from the point (3,2) is 7/5, are

The opposite angular points of a square are (3, 4) and (1, –1). Then the co-ordinates of other two points are

The base BC of a triangle ABC is bisected at the point (p, q) and the equations to the sides AB and AC arc respectively px + qy = 1 and px + py = 1. Then the equation to the median through A is

In an isosceles triangle ABC, the coordinates of the points B and C on the base BC are respectively (1, 2) and (2, 1). If the equation of the line AB is y = 2x, then the equation of the line AC is

A vertex of equilateral triangle is (2, 3) and equation of opposite side is x + y = 2, then the equation of the one side from rest two, is