Through the point `(3,4)` are drawn two straight lines each inclined at `45^@` to the straight line `x-y=2`,Find their equations and also find the area of triangle bounded by the three lines.

Two straight lines are drawn through the point (3,4) inclined at an angle 45^@ to the line x - y - 2 = 0. Find their equations and obtain the area included by the above three lines.

Find the equation of the straight line passing through the points (-1,2) and (5,-1) and also find the area of the triangle formed by it with the axes of coordinates.

Find the area of region bounded by straight lines |x| + | y| = k

Find the equations of two straight lines passing though (1,2) and making an angle of 60^0\ with the line x+y=0 .Also, find the area of the triangle formed by the three lines.

Find the equations of two straight lines passing though (1,2) and making an angle of 60^0\ with the line x+y=0 . Find also the area of the triangle formed by the three lines.

(i) Using definite integral find the area of the triangle bounded by the straight lines x =0,y=4x and 2x+ y =6 (ii) Using definite integral find the area of the triangle bounded by the straight lines x =0 ,y=x and 2y+x=6

Find the area of the region bounded by the parabola y^2=2x and straight line x-y=4.

The equation of the a straight line passing through the points (1,2) and inclined at 45^(@) to the line y=2x+1 is

Two straight lines , drawn through the origin , trisect the portion of the line 4x+3y=12 intercepted between the axes. Find the equations of the straight lines.