[" If the lines "ax+by+p=0,x cos alpha+y sin alpha-p=0(p!=0)" and "x sin alpha-y cos=0" are "],[" concurrent and the first two lines include an angle "(pi)/(4)," then "quad a^(2)+b^(2)]

If the lines ax+by+p=0x cos alpha+y sin alpha-p=0(p!=0) and x sin alpha-y sin alpha=0 are concurrent and the first two lines include an angle (pi)/(4), then a^(2)+b^(2) is equal to

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

The angle between the lines x cos alpha + y sin alpha = a and x sin beta - y cos alpha = a is

If the lines x cos alpha + y sin alpha = P and x - sqrt(3) y+ 1 =0 are mutually perpendicular then alpha=…....

If x sin ^3 alpha + y cos^3 alpha = sin alpha cos alpha and x sin alpha - y cos alpha =0 , then x^2 +y^2 is

Reduce the equation of the line x cos alpha+y sin alpha-p=0 into intercepts form

The lines x cos alpha+y sin alpha=P_(1) and x cos beta+y sin beta=P_(2) will be perpendicular,if :

If the point (3, 4) lies on the locus of the point of intersection of the lines x cos alpha + y sin alpha =a and x sin alpha - y cos alpha =b ( alpha is a variable), the point (a, b) lies on the line 3x-4y=0 then (a^(2)-b^(2))/2 is equal to