The locus of the centre of the circle`(xcos alpha + y sin alpha - a)^2 + (x sin alpha - y cos alpha - b)^2= k^2` if `alpha` varies, is

Find the radius of the circle (x cos alpha+y sin alpha-a)^(2)+(x sin alpha-y cos alpha-b)^(2)=k^(2), if alpha varies,the locus of its centre is again a circle.Also,find its centre and radius.

Show that the locus of the point of intersection of the lines x cos alpha + y sin alpha = a and x sin alpha - y cos alpha = a , when alpha varies, is a circle.

The locus of the intersection point of x cos alpha+y sin alpha=a and x sin alpha-y cos alpha=b is

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

(sqrt2 - sin alpha - cos alpha )/( sin alpha - cos alpha)=

(sqrt2 - sin alpha - cos alpha )/( sin alpha - cos alpha)=

Locus of the point of intersection of lines x cosalpha + y sin alpha = a and x sin alpha - y cos alpha =b (alpha in R ) is

Locus of the point of intersection of lines x cosalpha + y sin alpha = a and x sin alpha - y cos alpha =b (alpha in R ) is

Prove that the locus of the points of intersection of the lines x cos alpha + y sin alpha = a and x sin alpha - y cos albha = b is a cicle, whatever may be alpha