1.

If \[y=mx+c\] is tangent on the ellipse \[\frac{{{x}^{2}}}{9}+\frac{{{y}^{2}}}{4}=1\], then the value of c is

A.            0     
B.            \[3/m\]
C.            \[\pm \sqrt{9{{m}^{2}}+4}\]    
D.            \[\pm 3\sqrt{1+{{m}^{2}}}\]
Answer» D.            \[\pm 3\sqrt{1+{{m}^{2}}}\]


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