The Centre Of A Square Is At The Origin And One Vertex Is A(2, 1). Find The Coordinates Of Other Vertices Of The Square. 

Find the equation of the straight line through the point P(a, b) parallel to the lines . Also find the intercepts made by it on the axes.

The length of perpendicular from the origin to a line is 9 and the line makes an angle of 120^o with the positive direction of y-axis. Find the equation of the line.

Find the equation of the straight line on which the perpendicular from origin makes an angle of 30^o with x-axis and which forms a triangle of area  sq. units with the coordinates axes.

Find the measure of the angle of intersection of the lines whose equations are 3x + 4y + 7 = 0 and 4x – 3y + 5 = 0.

Find the angle between the lines

where a > b > 0.

The slope of a straight line through A(3, 2) is 3/4. Find the coordinates of the points on the line that are 5 units away from A. 

Find the direction in which a straight line must be drawn through the point (1, 2) so that its point of intersection with the line

x + y = 4 may be at a distance  from this point. 

Find the distance of the point (2, 3) from the line 2x – 3y + 9 = 0 measured along the line 2x – 2y + 5 = 0.

The line joining the points A(2, 0) and B(3, 1) is rotated about A in the anticlockwise direction through an angle of 15^o. Find the equation of the line in the new position. If B goes to C in the new position, what will be the coordinates of C?  

The extremities of the diagonal of a square are (1, 1), (–2, –1). Obtain the other two vertices and the equation of the other diagonal.