If the straight lines `ax+by+c=0` and `xcosalpha+ysinalpha=c` encloses an angle of `pi/4` between them and meet the straight line `xsinalpha-ycosalpha=0` in the point then

If the straight lines ax+by+c=0 and x cos alpha +y sin alpha = c enclose an angle pi//4 between them and meet the straight line x sin alpha - y cos alpha = 0 in the same point , then

If the straight lines ax+by+c=0 and x cos alpha +y sin alpha = c enclose an angle pi//4 between them and meet the straight line x sin alpha - y cos alpha = 0 in the same point , then

If the straight lines ax+by+p=0 and x cos alpha +y sin alpha = c enclose an angle pi//4 between them and meet the straight line x sin alpha - y cos alpha = 0 in the same point , then

The line ax + by + c = 0 intersects the line x cosalpha + y sinalpha=c at the point P and angle between them is pi/4 . If the line x sinalpha - y cosalpha = 0 also passes through the point P, then:

Find the area of the triangle formed by the straight line xcosalpha+ysinalpha=p with the axes of coordinates.

Line a x+b y+p=0 makes angle pi/4 with xcosalpha+ysinalpha=p ,p in R^+ . If these lines and the line xsinalpha-ycosalpha=0 are concurrent, then

If c is negative then the distance of the straight line ax+by+c=0 from the origin is -