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If the point (3,4) lies on the locus of ...

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

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