Condition when variable is involved :(ii) Find the locus of point of intersection of the lines `xcosalpha+ysinalpha=a` and `xsinalpha-ycos alpha=b` where b is the variable.

Locus of the point of intersection of the lines x cos alpha+y sin alpha=a and x sin alpha-y cos alpha=b where alpha is variable.

Find the locus of the point of intersection of lines x cos alpha+y sin alpha=a and x sin alpha-y cos alpha=b(alpha is a variable )

The locus of the point of intersection of the lines x cosalpha + y sin alpha= p and x sinalpha-y cos alpha= q , alpha is a variable will be

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

The locus of the points of intersection of the lines x cos theta+y sin theta=a and x sin theta-y cos theta=b , ( theta= variable) 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

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+b| is equal to

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+b| is equal to

The locus of lhe point of intersection of the lines x+4y=2a sin theta,x-y=a cos theta where theta is a variable parameter is

For the variable t, the locus of the point of intersection of the lines 3tx-2y+6t=0 and 3x+2ty-6=0 is