Question

Line L has intercepts a and d on the axes of coordinates. When the axes are rotated through
agiven angle, keeping the origin fixed, the same line L has intercepts p and on the transformed
ares. Prove that
$\frac{1}{ {a}^{2} } + \frac{1}{ {b}^{2} } = \frac{1}{ {p}^{2} } + \frac{1}{ {q}^{2} }$
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Answer 1

Answer:

Line L has intercepts a and d on the axes of coordinates. When the axes are rotated through

agiven angle, keeping the origin fixed, the same line L has intercepts p and on the transformed

ares. Prove that

[tex] \frac{1}{ {a}^{2} } + \frac{1}{ {b}^{2} } = \frac{1}{ {p}^{2} } + \frac{1}{ {q}^{2} } [/tex