The line \[y=mx+c\] touches the curve \[\frac{{{x}^{2}}}{{{a}^{2}}}-\frac{{{y}^{2}}}{{{b}^{2}}}=1\], if [Kerala (Engg.) 2002]

\[{{c}^{2}}={{b}^{2}}{{m}^{2}}-{{a}^{2}}\]

\[{{c}^{2}}={{a}^{2}}{{m}^{2}}+{{b}^{2}}\]

\[{{c}^{2}}={{a}^{2}}{{m}^{2}}-{{b}^{2}}\]

\[{{a}^{2}}={{b}^{2}}{{m}^{2}}+{{c}^{2}}\]

The line \[y=mx+c\] touches the curve \[\frac{{{x}^{2}}}{{{a}^{2}}}-\f

1.	The line \[y=mx+c\] touches the curve \[\frac{{{x}^{2}}}{{{a}^{2}}}-\frac{{{y}^{2}}}{{{b}^{2}}}=1\], if [Kerala (Engg.) 2002]
A.	\[{{c}^{2}}={{a}^{2}}{{m}^{2}}+{{b}^{2}}\]
B.	\[{{c}^{2}}={{a}^{2}}{{m}^{2}}-{{b}^{2}}\]
C.	\[{{c}^{2}}={{b}^{2}}{{m}^{2}}-{{a}^{2}}\]
D.	\[{{a}^{2}}={{b}^{2}}{{m}^{2}}+{{c}^{2}}\]
Answer» C. \[{{c}^{2}}={{b}^{2}}{{m}^{2}}-{{a}^{2}}\]

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The line \[y=mx+c\] touches the curve \[\frac{{{x}^{2}}}{{{a}^{2}}}-\frac{{{y}^{2}}}{{{b}^{2}}}=1\], if [Kerala (Engg.) 2002]

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