1.

If the line \[y=mx+c\]touches the ellipse \[\frac{{{x}^{2}}}{{{b}^{2}}}+\frac{{{y}^{2}}}{{{a}^{2}}}=1\], then \[c=\]           [MNR 1975; MP PET 1994, 95, 99]

A.            \[\pm \sqrt{{{b}^{2}}{{m}^{2}}+{{a}^{2}}}\]                                
B.            \[\pm \sqrt{{{a}^{2}}{{m}^{2}}+{{b}^{2}}}\]
C.            \[\pm \sqrt{{{b}^{2}}{{m}^{2}}-{{a}^{2}}}\]                                
D.            \[\pm \sqrt{{{a}^{2}}{{m}^{2}}-{{b}^{2}}}\]
Answer» B.            \[\pm \sqrt{{{a}^{2}}{{m}^{2}}+{{b}^{2}}}\]


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