If the lines `ax+ by+p=0` ,`xcosalpha+ysinalpha-p=0(p!=0)` and `xsinalpha-ycosalpha=0` are concurrent and the first two lines include an angle `pi/4` , then `a^2+b^2` is equal to

Locus of the point of intersection of the lines xcosalpha+ysinalpha=a and xsinalpha-ycosalpha=b where alpha is variable.

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

Show that the four straight lines xcosalpha+ysinalpha=P , xsinalpha-ycosalpha=-p and xsinalpha-ycosalpha=P form a square.

Find the locus of the point of intersection of lines xcosalpha+ysinalpha=a and xsinalpha-ycosalpha=b(alpha is a variable).

Find the locus of the point of intersection of lines xcosalpha+ysinalpha=a and xsinalpha-ycosalpha=b(alpha is a variable).

Find the locus of the point of intersection of lines xcosalpha+ysinalpha=a and xsinalpha-ycosalpha=b(alpha is a variable).

Find the locus of the point of intersection of lines xcosalpha+ysinalpha=a and xsinalpha-ycosalpha=b(alpha is a variable).

Find the locus of the point of intersection of lines xcosalpha+ysinalpha=a and xsinalpha-ycosalpha=b(alpha is a variable).

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 (a) a^2+b^2=1 (b) a^2+b^2=2 (c) 2(a^2+b^2)=1 (d) none of these