Tricky lines!

Geometry Level pending

A line x/a + y/b =1 becomes x/p + y/q =1 after axes are rotated by an angle theta, find the value of [ 1/(a^2) + 1/(b^2) }

[ 1/(p^2) - 1/(q^2) } [ 1/(p^2) + 1/(q^2) } [ 1/(p) + 1/(q) } [ 1/(p) - 1/(q) }

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1 solution

Ossama Ismail
Dec 28, 2016

Assume the angle theta = 90 , then after rotation p = a a n d q = a p = a \ and \ q = -a

The value of [ 1/(a^2) + 1/(b^2) } = he value of [ 1/(q^2) + 1/(p^2) }

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