Line L has intercepts a and b on the co-ordinate axes. When the axes are rotated through a given angle keeping the origin fixed, the same line L has intercepts p and q, then [IIT 1990; Kurukshetra CEE 1998]

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

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

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

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

Line L has intercepts a and b on the co-ordinate axes. When the axes a

1.	Line L has intercepts a and b on the co-ordinate axes. When the axes are rotated through a given angle keeping the origin fixed, the same line L has intercepts p and q, then [IIT 1990; Kurukshetra CEE 1998]
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.	\[\frac{1}{{{a}^{2}}}+\frac{1}{{{p}^{2}}}=\frac{1}{{{b}^{2}}}+\frac{1}{{{q}^{2}}}\]
Answer» C. \[{{a}^{2}}+{{p}^{2}}={{b}^{2}}+{{q}^{2}}\]

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Line L has intercepts a and b on the co-ordinate axes. When the axes are rotated through a given angle keeping the origin fixed, the same line L has intercepts p and q, then [IIT 1990; Kurukshetra CEE 1998]

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