Find the equation of the straight line on which the perpendicular from origin makes an angle `30^o` with positive x-axis and which foms a triangle of area `50/sqrt3`sq, units with the co-ordinates axis.

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 equation of the line whose perpendicular distance from the origin is 4 units and the angle which the normal makes with positive direction of x -axis is 15°.

Find the equation of line which makes a triangle with area (50)/( sqrt(3) ) unit with axis and perpendicular from origin makes an angle (pi)/(6) with positive side of X-axis.

Find the equation of the lines through the point (3,2) which make an angle of 45^(@) with the line x-2y=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

Find the equation of the straight line which passes through the point (2,-3) and is (i) parallel to the X-axis , (ii) perpendicular to the X - axis

Find the equation of the straight line parallel to Y - axis and at a distance (i) 3 units to the right (ii) 2 units to the left

Obtain the equation at the line in Ex. (1) to (10) satisfying given condition : Length of perpendicular from origin is 7 unit and makes an angle (pi)/(6) with positive side of X-axis.