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10-2. Parabola, Ellipse, Hyperbola
easy
જો $y\,\, = \,\,mx\, + \,\,c$ એ ઉપવલય $\frac{{{x^2}}}{9}\,\, + \;\,\frac{{{y^2}}}{4}\,\, = \,\,1\,$ નો સ્પર્શક હોય , તો $c$ નું મૂલ્ય ......
A
$0$
B
$3/m$
C
$ \pm \,\,\sqrt {9{m^2}\,\, + \;\,4} $
D
$ \pm \,\,3\,\,\sqrt {1\,\, + \;\,{m^2}} $
Solution
અહી ${\text{a}}\,\, = \,\,{\text{3,}}\,\,{\text{b}}\,\, = \,\,{\text{2}}\,\,$
સમીકરણ ${{\text{c}}^{\text{2}}}\,\, = \,\,{b^2}\,\, + \;\,{a^2}\,{m^2}$
$\therefore \,\,{c^2}\,\, = \,\,4\,\, + \;\,9{m^2};\,\,c\,\, = \,\, \pm \,\,\sqrt {9{m^2}\,\, + \;\,4} $
Standard 11
Mathematics
