question_answer

Line L has intercepts a and b on the coordinate axes. When the axes are rotated through a given angle, keeping the origin fixed, the same line L has intercepts p and q, then

A)  \[{{a}^{2}}+{{b}^{2}}={{p}^{2}}+{{q}^{2}}\] 

B)  \[\frac{1}{{{a}^{2}}}+\frac{1}{{{b}^{2}}}=\frac{1}{{{p}^{2}}}+\frac{1}{{{q}^{2}}}\]

C)  \[{{a}^{2}}+{{p}^{2}}={{b}^{2}}+{{q}^{2}}\] 

D)  \[\frac{1}{{{a}^{2}}}+\frac{1}{{{p}^{2}}}=\frac{1}{{{b}^{2}}}+\frac{1}{{{q}^{2}}}\]

E)  None of these