Find The Equation Of The Straight Line, Which Passes Through The Point (3, 4) And Whose Intercept On y-axis Is Twice That On x-axis.

In a triangle ABC,  and point A lies on line y = 2x + 3 where  Area of  is such that [∆] = 5. Possible co-ordinates of ∆ is/are –

 then the point (x, y) lies on same side of the line 2x + y – 6 = 0 as the point –

Find the area of the quadrilateral with vertices (3, 3), (1, 4), (–2, 1), (2, –3).

A straight line segment of length ‘p’ moves with its ends on two mutually perpendicular lines. find the locus of the point which divides the line in the ratio 1:2.

Find the acute angle between the two lines with slopes 1/5 and 3/2.

If a line has a slope = ½ and passes through (–1, 2); find its equation. 

If a line has a slope 1/2 and cuts off along the positive y-axis of length 5/2 find the equation of the line.

If a line passes through two points (1, 5) and (3, 7) find its equation.

A straight line passes through a point A (1, 2) and makes an angle 60^owith the x-axis. This line intersects the line x + y = 6 at the point P. find AP.

Find the equation of the straight line upon which the length of perpendicular from origin is  units and this perpendicular makes an angle of 75^o with the positive direction of x-axis.