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

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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

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

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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 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 a parameter is