Mathematics

Mathematics

Problem

If pp and qq are the lengths of the perpendiculars from the origin on the lines, xcsc⁡a−ysec⁡a=kcot⁡2ax \csc a - y \sec a = k \cot 2a and xsin⁡a+ycos⁡a=ksin⁡2ax \sin a + y \cos a = k \sin 2a respectively, then k2k^2 is equal to:

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